# Mensuration-14

### From Homeworkwiki

** A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 24 cm and the total height of the vessel is 28 cm. Find its capacity.**

**Solution:** Radius of the hemispherical bowl = 12 cm

Height of the cylinder = 28 - 12 = 16 cm

Capacity = volume of cylindrical part + volume of hemispherical part

= π r^{2} h + 2/3 x π r^{3}

= (π x 12 x 12 x 16) + (2/3 x π x 12 x 12 x 12)

= π x 2304 + π x 1152 cm^{3}

= 3456 x 22/7 = 10861-5/7 cu. cm