Question

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

• A. 50
• B. 53.55
• C. 56.55
• D. 58

Answer 1

The correct option is C

56.55

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