# Mensuration-49

### From Homeworkwiki

**Find the surface area and volume of a hemisphere made of stone and radius 10 cm.**

**Solution:** Total surface area = surface area of spherical portion + area of circular portion

= 1/2 x 4 Π r^{2} + Π r^{2} = 3 Π r^{2}

= 3 x 3.14 x 10 x 10 cm = 942 cm^{2}

Volume of the hemisphere = 1/2 x 4/3 Π r^{3} = 2/3 x 3.14 x 10^{3} = 2093.3 cm^{3}