Question

If the circumference of base of a hemisphere is $2\pi$ then its volume is _________ $c{m}^3$.

• A. $\frac{2\pi }{3}{r}^3$
• B. $\frac{2\pi }{3}$
• C. $\frac{8\pi }{3}$
• D. $\frac{\pi }{12}$

Answer 1

Answer: (B)

$\frac{2\pi }{3}$

The circumference of base of a hemisphere $=2\pi$
$\therefore 2\pi r=2\pi$
$\therefore r=1$
Its volume $=\frac{2}{3}\pi (r{)}^3$
$=\frac{2}{3}\pi (1{)}^3=\frac{2}{3}\pi c{m}^3$