Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of $\pi$. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

Radius of Hemisphere= r = 1 cm

Height of Cone= h = Radius of Cone = 1 cm

Volume of Solid = Volume of Hemisphere + Volume of Cone

$=\frac{2}{3}\pi .r^3+\frac{1}{3}.\pi .r^2.h$

$=\frac{1}{3}.\pi .r^2(2.r+h)=\frac{1}{3}\times \pi (1{)}^2\times (2+1)=\pi c{m}^3$