Find the volume (in $c m^{3}$ ) of :

53.55

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56.55

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Solution

The correct option is D
56.55

Given, height of cone = 12 cm
diameter of cone = 6 cm
So, radius = 3 cm
We know that volume of a cone = $\frac{1}{3} π r^{2} h$
$Required volume = \frac{1}{2} (volume of cone)$
$= (\frac{1}{2}) (\frac{1}{3} π r^{2} h)$
$= \frac{1}{6} (π) (3)^{2} (12)$
$= 18 π$
$= 56.55 c m^{3}$

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