Question

A solid is in the form of a right cylinder mounted on a solid hemisphere of radius 14 cm. The radius of the base of the cylindrical part is 14 cm and the vertical height of the cylinder is 14 cm. Find the volume of the solid.

Answer 1

Given:

Radius of hemisphere $=14cm$

Radius of cylinder $=14cm$

Volume of the hemisphere $=\frac{2}{3}\pi r^3$

$=\frac{2}{3}\times \frac{22}{7}\times {14}^3$

$=5749.3c{m}^3$

Volume of the cylinder $=\pi r^{2}h$

$=\frac{22}{7}\times {14}^2\times 14$

$=8624c{m}^2$

Volume of whole solid $=8624+5749.3$

$=14373.3c{m}^3$