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Frustum of a Cone Video Lecture | Crash Course: Class 10
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FAQs on Frustum of a Cone Video Lecture - Crash Course: Class 10
| 1. What is a frustum of a cone? |  |
Ans. A frustum of a cone is a three-dimensional solid shape that is obtained by cutting a cone with a plane parallel to its base. It has two circular bases and a curved surface.
| 2. How is the volume of a frustum of a cone calculated? | |
Ans. The volume of a frustum of a cone can be calculated using the formula V = (1/3)πh(r^2 + R^2 + rR), where h is the height of the frustum, r is the radius of the smaller base, and R is the radius of the larger base.
| 3. What is 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 for the surface area is A = π(R^2 + r^2 + l(R + r)), where R is the radius of the larger base, r is the radius of the smaller base, and l is the slant height of the frustum.
| 4. How is the slant height of a frustum of a cone calculated? | |
Ans. The slant height of a frustum of a cone can be calculated using the Pythagorean theorem. It is given by the formula l = √(h^2 + (R - r)^2), where h is the height of the frustum, R is the radius of the larger base, and r is the radius of the smaller base.
| 5. Can a frustum of a cone have equal radii for the smaller and larger bases? | |
Ans. No, a frustum of a cone cannot have equal radii for the smaller and larger bases. The frustum is formed by cutting the cone with a plane parallel to its base, resulting in two different-sized circular bases. If the radii were equal, the resulting shape would be a cylinder, not a frustum.
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Dec 24, 2024 Last updated |
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