Question

The circumference of the base of the of a cylinder is 12 m and its height is $\pi$ meters. The volume of the cylinder is

• A. $28m^3$
• B. $38m^3$
• C. $36m^3$
• D. $22m^3$

Answer 1

The correct option is C $36m^3$

Circumference=12m and height (h)=$\pi m$ Therefore
$2\pi r=12$ or $r=\frac{12}{2\pi }=\frac{6}{\pi }$
Now V=$\pi r^{2}h$
=$\pi \times {\left(\frac{6}{\pi }\right)}^2\times \pi$
=$\frac{\pi \times 36\times \pi }{\pi \times \pi }$
=36$m^3$