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Frustum Concepts Video Lecture - Class 10

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FAQs on Frustum Concepts Video Lecture - Class 10

1. What is a frustum?
Ans. A frustum is a three-dimensional solid that is obtained by cutting a cone with a plane parallel to its base. It has two circular bases, one larger than the other, and a curved surface connecting them.
2. How is the volume of a frustum calculated?
Ans. The volume of a frustum can be calculated using the formula V = (1/3)πh(h1 + h2 + √(h1 × h2)), where V is the volume, h is the height of the frustum, and h1 and h2 are the heights of the two circular bases.
3. Can the slant height of a frustum be greater than its height?
Ans. Yes, the slant height of a frustum can be greater than its height. In fact, the slant height is always greater than the height in a frustum.
4. How is the lateral surface area of a frustum calculated?
Ans. The lateral surface area of a frustum can be calculated using the formula A = π(r1 + r2)l, where A is the lateral surface area, r1 and r2 are the radii of the two circular bases, and l is the slant height.
5. What is the difference between a frustum and a cone?
Ans. The main difference between a frustum and a cone is that a frustum has two circular bases, whereas a cone has only one circular base. Additionally, a frustum has a curved surface connecting the two bases, while a cone has a curved surface extending from the base to a single point called the apex.
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