A hemispherical bowl fits exactly on the flat surface of a right circular cone whose height is 5 cm and radius is 3.5 cm. Find the volume of the solid formed.
154 cm3
We know that,
volume of cone =13πr2h
volume of hemisphere =23πr3
Total volume
= Volume of the cone + Volume of the hemisphere
=13πr2h+23πr3=13πr2(h+2r)=13×227×3.52×(5+7)=13×227×3.52×12=22×0.5×3.5×4=154 cm3
∴ The volume of the solid formed is
154 cm3