Question

A right triangle with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the cone thus formed.

• A. $314\frac{2}{7}{\text{cm}}^3$
• B. $258{\text{cm}}^3$
• C. $300\frac{5}{8}{\text{cm}}^3$
• D. $392\frac{1}{3}{\text{cm}}^3$

Answer 1

The correct option is A $314\frac{2}{7}{\text{cm}}^3$

Given:

Height of the cone, $h=12\text{cm}$

Radius of the cone, $r=5\text{cm}$
$V=\frac{1}{3}\pi r^{2}h$
$=\frac{1}{3}\times \frac{22}{7}\times 5\times 5\times 12{\text{cm}}^3$
$=314\frac{2}{7}{\text{cm}}^3$'