Question

The cub (cubical) volume of a hemisphere, having diameter $1\text{cm}$, will be ............. ${\text{cm}}^3$

• A. $\frac{\pi }{6}$
• B. $\frac{\pi }{12}$
• C. $\frac{2\pi }{3}$
• D. $\frac{4\pi }{3}$

Answer 1

The correct option is B $\frac{\pi }{12}$

Here diameter of the hemisphere is given as $1cm$

$\therefore$ $r=\frac{1}{2}$
Volume of the hemisphere $=\frac{2}{3}\pi r^3=\frac{2}{3}\times \pi \times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{\pi }{12}$

Thus, the answer is $\frac{\pi }{12}$.