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 π.

Answer 1

We have,

Height (h) of cone = Radius (r) of cone = 1 cm

Radius (r) of hemispherical = Radius of cone (r) = 1 cm

Volume of solid = Volume of cone + Volume of hemispherical 

= `1/3 pir^2h + 2/3pir^3`

= `1/3pi[(1)^2 xx 1 + 2 xx (1)^3]`

= `1/3 pixx 1 xx 3`cm³

= π cm³