Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 21 m and the height of the cone is 10 m. Find the volume of the solid.

• A. 24,024 $m^3$
• B. 23,024 $m^3$
• C. 22,024 $m^3$
• D. 21,024 $m^3$

Answer 1

The correct option is A 24,024 $m^3$

Radius of the cone = radius of the hemisphere = 21m

Height of the cone = 10 m

Volume of the solid = Volume of the cone + Volume of the hemisphere

Volume of the cone = $\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^3$

$=\frac{1}{3}\times 22/7\times {21}^2\times 10+\frac{2}{3}\times 22/7\times {21}^3$

= 4,620 + 19,404

= 24,024 $m^3$