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