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2026-01-01
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<p>Last updated on<strong>August 29, 2025</strong></p>
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<p>Last updated on<strong>August 29, 2025</strong></p>
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<p>An oblique cone is a 3-dimensional shape that has a circular base but with the apex not aligned directly above the center of the base. The surface area of an oblique cone is the total area covered by its outer surface. This includes both the curved surface and the base of the cone. In this article, we will learn about the surface area of an oblique cone.</p>
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<p>An oblique cone is a 3-dimensional shape that has a circular base but with the apex not aligned directly above the center of the base. The surface area of an oblique cone is the total area covered by its outer surface. This includes both the curved surface and the base of the cone. In this article, we will learn about the surface area of an oblique cone.</p>
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<h2>What is the Surface Area of an Oblique Cone?</h2>
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<h2>What is the Surface Area of an Oblique Cone?</h2>
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<p>The surface area of an oblique cone is the total area occupied by the boundary or surface of the cone. It is measured in<a>square</a>units. Unlike a right circular cone, where the vertex aligns with the<a>base</a>'s center, an oblique cone's vertex is offset, causing it to lean. The surface area of the oblique cone includes its curved surface area and the base area, similar to other cones.</p>
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<p>The surface area of an oblique cone is the total area occupied by the boundary or surface of the cone. It is measured in<a>square</a>units. Unlike a right circular cone, where the vertex aligns with the<a>base</a>'s center, an oblique cone's vertex is offset, causing it to lean. The surface area of the oblique cone includes its curved surface area and the base area, similar to other cones.</p>
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<h2>Surface Area of an Oblique Cone Formula</h2>
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<h2>Surface Area of an Oblique Cone Formula</h2>
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<p>An oblique cone has a curved surface and a base, resulting in two surface areas: the curved surface area and the total surface area.</p>
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<p>An oblique cone has a curved surface and a base, resulting in two surface areas: the curved surface area and the total surface area.</p>
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<p>Despite the tilt, the<a>formulas</a>for these areas remain similar to those of a right cone.</p>
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<p>Despite the tilt, the<a>formulas</a>for these areas remain similar to those of a right cone.</p>
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<p>Curved Surface Area of an Oblique Cone Total Surface Area of an Oblique Cone</p>
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<p>Curved Surface Area of an Oblique Cone Total Surface Area of an Oblique Cone</p>
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<h2>Curved Surface Area of an Oblique Cone</h2>
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<h2>Curved Surface Area of an Oblique Cone</h2>
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<p>The area of the curved part of the oblique cone, excluding its base, is known as the curved surface area.</p>
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<p>The area of the curved part of the oblique cone, excluding its base, is known as the curved surface area.</p>
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<p>The formula for the CSA (Curved Surface Area) is the same:</p>
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<p>The formula for the CSA (Curved Surface Area) is the same:</p>
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<p>Curved Surface Area = πrl square units</p>
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<p>Curved Surface Area = πrl square units</p>
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<p>Here, r is the radius of the base of the cone, and l is the slant height of the cone.</p>
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<p>Here, r is the radius of the base of the cone, and l is the slant height of the cone.</p>
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<h2>Total Surface Area of an Oblique Cone</h2>
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<h2>Total Surface Area of an Oblique Cone</h2>
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<p>The total surface area includes both the curved surface and the base area.</p>
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<p>The total surface area includes both the curved surface and the base area.</p>
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<p>While the cone is oblique, the calculation remains:</p>
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<p>While the cone is oblique, the calculation remains:</p>
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<p>Total surface area = πr(r + l) square units</p>
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<p>Total surface area = πr(r + l) square units</p>
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<p>Where r is the radius of the base, and l is the slant height of the cone.</p>
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<p>Where r is the radius of the base, and l is the slant height of the cone.</p>
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<h2>Volume of an Oblique Cone</h2>
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<h2>Volume of an Oblique Cone</h2>
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<p>The volume of an oblique cone shows how much space is inside it. Like a right cone, it is one-third of the volume of a cylinder with the same height and base.</p>
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<p>The volume of an oblique cone shows how much space is inside it. Like a right cone, it is one-third of the volume of a cylinder with the same height and base.</p>
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<p>The volume can be calculated as: Volume = ⅓(πr²h) cubic units</p>
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<p>The volume can be calculated as: Volume = ⅓(πr²h) cubic units</p>
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<h2>Confusion between CSA and TSA</h2>
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<h2>Confusion between CSA and TSA</h2>
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<p>Students may confuse the curved surface area (CSA) and the total surface area (TSA) of an oblique cone.</p>
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<p>Students may confuse the curved surface area (CSA) and the total surface area (TSA) of an oblique cone.</p>
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<p>Remember, CSA involves only the curved part, while TSA includes both the curved surface and the base.</p>
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<p>Remember, CSA involves only the curved part, while TSA includes both the curved surface and the base.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given r = 6 cm, l = 9 cm. Use the formula: CSA = πrl = 3.14 × 6 × 9 = 169.56 cm²</p>
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<p>Given r = 6 cm, l = 9 cm. Use the formula: CSA = πrl = 3.14 × 6 × 9 = 169.56 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Find the total surface area of an oblique cone with a radius of 4 cm and a slant height of 12 cm.</p>
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<p>Find the total surface area of an oblique cone with a radius of 4 cm and a slant height of 12 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>TSA = 201.06 cm²</p>
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<p>TSA = 201.06 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>Use the formula: TSA = πr(r + l) = 3.14 × 4 × (4 + 12) = 3.14 × 4 × 16 = 201.06 cm²</p>
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<p>Use the formula: TSA = πr(r + l) = 3.14 × 4 × (4 + 12) = 3.14 × 4 × 16 = 201.06 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>An oblique cone has a radius of 7 cm and a height of 10 cm. Find the total surface area.</p>
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<p>An oblique cone has a radius of 7 cm and a height of 10 cm. Find the total surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>TSA = 350.44 cm²</p>
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<p>TSA = 350.44 cm²</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>Find the slant height using: l = √(r² + h²) = √(7² + 10²) = √(49 + 100) = √149 = 12.21 cm Use the TSA formula: TSA = πr(r + l) = 3.14 × 7 × (7 + 12.21) = 3.14 × 7 × 19.21 = 350.44 cm²</p>
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<p>Find the slant height using: l = √(r² + h²) = √(7² + 10²) = √(49 + 100) = √149 = 12.21 cm Use the TSA formula: TSA = πr(r + l) = 3.14 × 7 × (7 + 12.21) = 3.14 × 7 × 19.21 = 350.44 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Find the curved surface area of an oblique cone with a radius of 5 cm and a slant height of 11 cm.</p>
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<p>Find the curved surface area of an oblique cone with a radius of 5 cm and a slant height of 11 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>CSA = 172.7 cm²</p>
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<p>CSA = 172.7 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>CSA = πrl = 3.14 × 5 × 11 = 172.7 cm²</p>
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<p>CSA = πrl = 3.14 × 5 × 11 = 172.7 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The slant height of an oblique cone is 8 cm, and its curved surface area is 200 cm². Find the radius.</p>
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<p>The slant height of an oblique cone is 8 cm, and its curved surface area is 200 cm². Find the radius.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Radius = 7.96 cm</p>
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<p>Radius = 7.96 cm</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>It is the total area that covers the outside of the oblique cone, including its curved side and the base.</h2>
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<h2>It is the total area that covers the outside of the oblique cone, including its curved side and the base.</h2>
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<h3>1.What are the two types of surface area in an oblique cone?</h3>
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<h3>1.What are the two types of surface area in an oblique cone?</h3>
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<p>The two types are the curved surface area and the total surface area.</p>
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<p>The two types are the curved surface area and the total surface area.</p>
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<h3>2.What is the difference between slant height and height?</h3>
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<h3>2.What is the difference between slant height and height?</h3>
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<p>Slant height is the length from the tip to the edge of the base. Height is the straight line from the tip to the center of the base.</p>
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<p>Slant height is the length from the tip to the edge of the base. Height is the straight line from the tip to the center of the base.</p>
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<h3>3.Is curved surface area the same as lateral surface area?</h3>
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<h3>3.Is curved surface area the same as lateral surface area?</h3>
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<p>Yes, in cones, both curved and lateral surface area<a>mean</a>the same.</p>
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<p>Yes, in cones, both curved and lateral surface area<a>mean</a>the same.</p>
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<h3>4.What unit is surface area measured in?</h3>
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<h3>4.What unit is surface area measured in?</h3>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of an Oblique Cone</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of an Oblique Cone</h2>
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<p>Students often make mistakes while calculating the surface area of an oblique cone, leading to incorrect answers. Below are some common mistakes and tips to avoid them.</p>
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<p>Students often make mistakes while calculating the surface area of an oblique cone, leading to incorrect answers. Below are some common mistakes and tips to avoid them.</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<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>