Question

# A vessel is in the form of a frustum of a cone. Its radius at top end is 8 cm and the bottom end is 12 cm. Its height is 21 cm. Find the volume of the frustum cone.

A
1,128 πcm3
B
3,128 πcm3
C
4,128 πcm3
D
2,128 πcm3

Solution

## The correct option is D 2,128 $$\pi {cm}^3$$Volume = $$\displaystyle \frac{\pi h}{3} (R^2 + Rr + r^2)$$= $$\displaystyle \frac{\pi \times 21}{3} ({12}^2 + 12 \times 8 + 8^2)$$= $$7 \pi (144 + 96 + 64)$$= $$7 \pi (304)$$= $$2,128 cm^3$$Mathematics

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