Volume of a cone with radius 6 cm and height 21 cm is

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Volume of a cone with radius 6 cm and height 21 cm is

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$720 c m^{3}$

$792 c m^{3}$

$700 c m^{3}$

$799 c m^{3}$

answer is A.

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Detailed Solution

Concept: Volume of right circular cone is given by:

$\Rightarrow V = \frac{1}{3} π r^{2} h$

Given: r = 6 cm and h = 21 cm

Therefore,

$\Rightarrow V = \frac{1}{3} π {(6)}^{2} . 21$

$\Rightarrow \frac{1}{3} \times \frac{22}{7} \times 36 \times 21 = 22 \times 12 \times 3$

$\Rightarrow 792 c m^{3}$

Hence, volume of cone is $792 c m^{3}$ .

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