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2026-01-01
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<p>Last updated on<strong>December 11, 2025</strong></p>
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<p>Last updated on<strong>December 11, 2025</strong></p>
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<p>A hollow cylinder consists of two cylindrical surfaces, an inner and an outer surface, with both contributing to the lateral surface area. Imagine a drinking straw, where the material forms the lateral surface area, while the ends remain open and are not part of the lateral area calculation.</p>
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<p>A hollow cylinder consists of two cylindrical surfaces, an inner and an outer surface, with both contributing to the lateral surface area. Imagine a drinking straw, where the material forms the lateral surface area, while the ends remain open and are not part of the lateral area calculation.</p>
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<h2>What is the Lateral Surface Area of a Hollow Cylinder?</h2>
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<h2>What is the Lateral Surface Area of a Hollow Cylinder?</h2>
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<p>The lateral surface area of a hollow cylinder is the area of the outer cylindrical surface minus the inner cylindrical surface, representing the area of the material that forms the cylinder.</p>
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<p>The lateral surface area of a hollow cylinder is the area of the outer cylindrical surface minus the inner cylindrical surface, representing the area of the material that forms the cylinder.</p>
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<h2>Formula for Lateral Surface Area of a Hollow Cylinder</h2>
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<h2>Formula for Lateral Surface Area of a Hollow Cylinder</h2>
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<p>We can find the lateral surface area of a hollow cylinder using the inner radius “r₁,” the outer radius “r₂,” and the height “h” of the cylinder.</p>
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<p>We can find the lateral surface area of a hollow cylinder using the inner radius “r₁,” the outer radius “r₂,” and the height “h” of the cylinder.</p>
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<p>The lateral surface area is calculated using the<a>formula</a>: Area = 2𝝅h(r₂ - r₁).</p>
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<p>The lateral surface area is calculated using the<a>formula</a>: Area = 2𝝅h(r₂ - r₁).</p>
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<h2>How to Find Lateral Surface Area of a Hollow Cylinder</h2>
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<h2>How to Find Lateral Surface Area of a Hollow Cylinder</h2>
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<p>To find the lateral surface area of a hollow cylinder, follow these steps:</p>
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<p>To find the lateral surface area of a hollow cylinder, follow these steps:</p>
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<p>Step 1: Note the given parameters, including the inner and outer radii and the height.</p>
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<p>Step 1: Note the given parameters, including the inner and outer radii and the height.</p>
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<p>Step 2: Ensure that all measurements are in the same unit before calculation.</p>
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<p>Step 2: Ensure that all measurements are in the same unit before calculation.</p>
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<p>Step 3: Use the<a>equation</a>, Area = 2𝝅h(r₂ - r₁), to find the lateral surface area of the hollow cylinder.</p>
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<p>Step 3: Use the<a>equation</a>, Area = 2𝝅h(r₂ - r₁), to find the lateral surface area of the hollow cylinder.</p>
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<p>Step 4: Provide the calculated answer in<a>square</a>units.</p>
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<p>Step 4: Provide the calculated answer in<a>square</a>units.</p>
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<h2>Common Mistakes and How to Avoid Them in the Lateral Surface Area of a Hollow Cylinder</h2>
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<h2>Common Mistakes and How to Avoid Them in the Lateral Surface Area of a Hollow Cylinder</h2>
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<p>There are a few common mistakes people make while calculating the lateral surface area of a hollow cylinder.</p>
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<p>There are a few common mistakes people make while calculating the lateral surface area of a hollow cylinder.</p>
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<p>Some of them are listed below:</p>
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<p>Some of them are listed below:</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>What is the lateral surface area of a hollow cylinder with an outer radius = 5 cm, inner radius = 3 cm, and height = 10 cm?</p>
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<p>What is the lateral surface area of a hollow cylinder with an outer radius = 5 cm, inner radius = 3 cm, and height = 10 cm?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>125.6 cm²</p>
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<p>125.6 cm²</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given: Outer radius r₂ = 5 cm, Inner radius r₁ = 3 cm, Height h = 10 cm</p>
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<p>Given: Outer radius r₂ = 5 cm, Inner radius r₁ = 3 cm, Height h = 10 cm</p>
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<p>LSA = 2𝝅h(r₂ - r₁) = 2×3.14×10×(5-3) = 125.6 cm²</p>
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<p>LSA = 2𝝅h(r₂ - r₁) = 2×3.14×10×(5-3) = 125.6 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>If the height of a hollow cylinder is 15 cm, the outer radius is 6 cm, and the lateral surface area is 188.4 cm². Find the inner radius.</p>
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<p>If the height of a hollow cylinder is 15 cm, the outer radius is 6 cm, and the lateral surface area is 188.4 cm². Find the inner radius.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>4 cm</p>
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<p>4 cm</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given: Outer radius r₂ = 6 cm, Height h = 15 cm, LSA = 188.4 cm²</p>
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<p>Given: Outer radius r₂ = 6 cm, Height h = 15 cm, LSA = 188.4 cm²</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁)</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁)</p>
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<p>188.4 = 2×3.14×15×(6-r₁)</p>
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<p>188.4 = 2×3.14×15×(6-r₁)</p>
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<p>188.4 = 94.2(6-r₁)</p>
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<p>188.4 = 94.2(6-r₁)</p>
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<p>6-r₁ = 2</p>
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<p>6-r₁ = 2</p>
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<p>r₁ = 6-2 = 4 cm</p>
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<p>r₁ = 6-2 = 4 cm</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Calculate the lateral surface area of a hollow cylinder with an outer radius of 10 cm, an inner radius of 8 cm, and a height of 5 cm.</p>
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<p>Calculate the lateral surface area of a hollow cylinder with an outer radius of 10 cm, an inner radius of 8 cm, and a height of 5 cm.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>62.8 cm²</p>
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<p>62.8 cm²</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given: Outer radius r₂ = 10 cm, Inner radius r₁ = 8 cm, Height h = 5 cm</p>
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<p>Given: Outer radius r₂ = 10 cm, Inner radius r₁ = 8 cm, Height h = 5 cm</p>
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<p>LSA = 2𝝅h(r₂ - r₁) = 2×3.14×5×(10-8) = 62.8 cm²</p>
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<p>LSA = 2𝝅h(r₂ - r₁) = 2×3.14×5×(10-8) = 62.8 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Determine the height of a hollow cylinder if its outer radius is 7 cm, its inner radius is 5 cm, and its lateral surface area is 150.72 square units.</p>
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<p>Determine the height of a hollow cylinder if its outer radius is 7 cm, its inner radius is 5 cm, and its lateral surface area is 150.72 square units.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>4 units</p>
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<p>4 units</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given: Outer radius r₂ = 7 units, Inner radius r₁ = 5 units, LSA = 150.72 square units</p>
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<p>Given: Outer radius r₂ = 7 units, Inner radius r₁ = 5 units, LSA = 150.72 square units</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁)</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁)</p>
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<p>150.72 = 2×3.14×h×(7-5)</p>
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<p>150.72 = 2×3.14×h×(7-5)</p>
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<p>150.72 = 12.56h</p>
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<p>150.72 = 12.56h</p>
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<p>h = 150.72/12.56 = 12 units</p>
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<p>h = 150.72/12.56 = 12 units</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>The lateral surface area of a hollow cylinder is 314 cm². If its inner radius is 4 cm and height is 10 cm, find its outer radius.</p>
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<p>The lateral surface area of a hollow cylinder is 314 cm². If its inner radius is 4 cm and height is 10 cm, find its outer radius.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>6 cm</p>
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<p>6 cm</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given: Inner radius r₁ = 4 cm, Height h = 10 cm, LSA = 314 cm²</p>
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<p>Given: Inner radius r₁ = 4 cm, Height h = 10 cm, LSA = 314 cm²</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁) 314 = 2×3.14×10×(r₂-4)</p>
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<p>Using the formula: LSA = 2𝝅h(r₂ - r₁) 314 = 2×3.14×10×(r₂-4)</p>
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<p>314 = 62.8(r₂-4)</p>
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<p>314 = 62.8(r₂-4)</p>
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<p>r₂-4 = 5</p>
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<p>r₂-4 = 5</p>
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<p>r₂ = 9 cm</p>
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<p>r₂ = 9 cm</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQ’s on Lateral Surface Area of a Hollow Cylinder</h2>
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<h2>FAQ’s on Lateral Surface Area of a Hollow Cylinder</h2>
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<h3>1.What is Lateral Surface Area?</h3>
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<h3>1.What is Lateral Surface Area?</h3>
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<p>The lateral surface area of a hollow cylinder is the area of the material forming the curved part of the cylinder, excluding the top and bottom surfaces.</p>
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<p>The lateral surface area of a hollow cylinder is the area of the material forming the curved part of the cylinder, excluding the top and bottom surfaces.</p>
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<h3>2.How to calculate the lateral surface area?</h3>
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<h3>2.How to calculate the lateral surface area?</h3>
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<p>The lateral surface area of a hollow cylinder can be calculated using the formula: Area = 2𝝅h(r₂ - r₁).</p>
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<p>The lateral surface area of a hollow cylinder can be calculated using the formula: Area = 2𝝅h(r₂ - r₁).</p>
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<h3>3.Is lateral surface area and curved surface area the same?</h3>
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<h3>3.Is lateral surface area and curved surface area the same?</h3>
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<p>Yes, for a hollow cylinder, they both refer to the curved material area excluding the top and bottom surfaces.</p>
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<p>Yes, for a hollow cylinder, they both refer to the curved material area excluding the top and bottom surfaces.</p>
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<h3>4.What is the relation between the outer and inner radius?</h3>
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<h3>4.What is the relation between the outer and inner radius?</h3>
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<p>The outer radius is the distance from the center to the outer surface, while the inner radius is the distance from the center to the inner surface.</p>
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<p>The outer radius is the distance from the center to the outer surface, while the inner radius is the distance from the center to the inner surface.</p>
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<h3>5.How does the LSA change if the radius is doubled?</h3>
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<h3>5.How does the LSA change if the radius is doubled?</h3>
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<p>If both inner and outer radii are doubled, the difference remains the same, so the LSA depends on the height and the difference between the radii.</p>
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<p>If both inner and outer radii are doubled, the difference remains the same, so the LSA depends on the height and the difference between the radii.</p>
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<h2>Important Glossary for Lateral Surface Area</h2>
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<h2>Important Glossary for Lateral Surface Area</h2>
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<ul><li><strong>Outer radius</strong>: The distance from the center to the outer surface of the cylinder.</li>
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<ul><li><strong>Outer radius</strong>: The distance from the center to the outer surface of the cylinder.</li>
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</ul><ul><li><strong>Inner radius</strong>: The distance from the center to the inner surface of the cylinder.</li>
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</ul><ul><li><strong>Inner radius</strong>: The distance from the center to the inner surface of the cylinder.</li>
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</ul><ul><li><strong>Height</strong>: The perpendicular distance between the bases of the cylinder.</li>
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</ul><ul><li><strong>Height</strong>: The perpendicular distance between the bases of the cylinder.</li>
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</ul><ul><li><strong>Pi (𝝅)</strong>: A mathematical<a>constant</a>approximately equal to 3.14 used in calculations involving circles.</li>
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</ul><ul><li><strong>Pi (𝝅)</strong>: A mathematical<a>constant</a>approximately equal to 3.14 used in calculations involving circles.</li>
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</ul><ul><li><strong>Units</strong>: The standard<a>measurement</a>for expressing area, typically in square units.</li>
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</ul><ul><li><strong>Units</strong>: The standard<a>measurement</a>for expressing area, typically in square units.</li>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>