Question

Circumference of the edge of a hemispherical bowl is $132cm$. Find the capacity of the bowl.

Answer 1

Given.

Circumference of hemisphere is :

$2\pi r=132cm$

$2\times \frac{22}{7}\times r=132cm$

$r=\frac{132\times 7}{22\times 2}cm$

$r=21cm$

Capacity of bowl is given by the volume of hemisphere

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

$\frac{2}{3}\times \frac{22}{7}\times {21}^{3}c{m}^3$

$\frac{44\times {21}^3}{21}c{m}^3$

$44\times {21}^2=44\times 441c{m}^3$

$19404c{m}^3$