Question

A right triangle with its sides $9cm,12cm$ and $15cm$ is revolved about the side $12cm$. Find the volume of the solid so formed.

• A. $1018.28c{m}^3$
• B. $702.57c{m}^3$
• C. $652.57c{m}^3$
• D. $752.57c{m}^3$

Answer 1

The correct option is A $1018.28c{m}^3$

When a right triangle is revolved about the side having $12$cm,we obtain a right circular cone with radius $9cm$ and height $12cm$
Volume obtained of right circular cone=$\frac{1}{3}\pi r^{2}h$
=$\frac{1}{3}\times \frac{22}{7}\times 9^2\times 12$
=$1018.28c{m}^3$