Question

If the volume of a right circular cone of height 18 cm is 96 π $c{m}^3$,then find the diameter of its base(in cm).

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Answer 1

Volume of cone = $\frac{1}{3}$ × $\frac{22}{7}$ × $r^2$ × h

Height = 18 cm

$\Rightarrow$ $\frac{1}{3}$ × $\frac{22}{7}$ × $r^2$ ×h = 96 $\pi$

$\Rightarrow$ r = 4 cm

Hence, the diameter = 8 cm