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If the radius of base of cone is 10m and radius of cone obtained after we have cut it by a plane is 4m, and the height of the frustum is 20m, then what is the volume of the frustum?

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3268 m 3

3000.57 m 3

3268.57 m 3

2248.45 m 3

answer is C.

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Detailed Solution

Given that the radius of the base of the cone is 10m, radius after it is cut by a plane is 4m and its height is 4m.
We have the following formula,
The volume of a frustum of a cone

= 13 π h (R 2 + R r + r 2)

The volume will be,

= 227 × 203 × 102 + 42 + 10 × 4 = 227 × 203 × 100 + 16 + 40 = 227 × 203 × 156 = 3268.57 m 3

Thus, its volume is

3268.57 m 3

.
Therefore the correct option is 3.

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