Question

A solid is in the shape of a hemisphere surmounted by a cone. If the radius of hemisphere and base radius of cone is 7 cm and height of cone is 3.5 cm, find the volume of the solid. `("Take"   π = 22/7)`

Answer 1

Here, radius (r) = 7 cm and height of a cone = 3.5 cm

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

= `2/3 πr^3 + 1/3 πr^2h`

= `2/3 xx 22/7 xx (7)^3 + 1/3 xx 22/7 xx (7)^2 xx 3.5`

= `1/3 [2156 + 539]`

= `1/3 xx 2695`

= 898.33 cm³