Class 10 Exam > Class 10 Videos > 05 - Surface Area & Volume of Cone & Frustum - Class 10 - Maths
05 - Surface Area & Volume of Cone & Frustum - Class 10 - Maths Video Lecture
FAQs on 05 - Surface Area & Volume of Cone & Frustum - Class 10 - Maths Video Lecture
| 1. What is the formula to find the surface area of a cone? |  |
Ans. The formula to find the surface area of a cone is given by A = πr(r + l), where A represents the surface area, r is the radius of the base, and l is the slant height of the cone.
| 2. How do you calculate the volume of a cone? | |
Ans. The formula to calculate the volume of a cone is V = (1/3)πr²h, where V represents the volume, r is the radius of the base, and h is the height of the cone.
| 3. What is a frustum of a cone? | |
Ans. A frustum of a cone is a three-dimensional shape that is obtained when a smaller cone is removed from a larger cone by cutting it parallel to the base. It has two circular bases and a curved lateral surface.
| 4. How do you find the surface area of a frustum of a cone? | |
Ans. The surface area of a frustum of a cone can be calculated by adding the areas of the two circular bases and the lateral surface area. The formula is A = π(R+r)l + π(R² + r²), where A represents the surface area, R and r are the radii of the larger and smaller bases respectively, and l is the slant height of the frustum.
| 5. What is the relationship between the volume of a cone and the volume of a frustum of a cone? | |
Ans. The volume of a frustum of a cone can be calculated by subtracting the volume of the smaller cone from the volume of the larger cone. The formula is V = (1/3)πh(R² + r² + Rr), where V represents the volume, R and r are the radii of the larger and smaller bases respectively, and h is the height of the frustum.
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Dec 23, 2024 Last updated |
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