Question

A right angled triangle with sides $3cm,4cm$ and $5cm$ is rotated about the side of $3cm$ to form a cone. The volume of the cone so formed is:

• A. $12\pi c{m}^3$
• B. $15\pi c{m}^3$
• C. $16\pi c{m}^3$
• D. $20\pi c{m}^3$

Answer 1

The correct option is C $16\pi c{m}^3$

So the height of the cone will be $3cm$

And radius $=4cm$

$v=\frac{\pi r^{2}h}{3}$

$=\frac{\pi \times 16\times 3}{3}$

$v=16\pi c{m}^3$