Question

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel. [Use `pi = 22/7`]

Answer 1

It can be observed that the radius (r) of the cylindrical part and the hemispherical part is the same (i.e., 7 cm).

Height of hemispherical part = Radius = 7 cm

Height of cylindrical part (h) = 13 − 7 = 6 cm

Inner surface area of the vessel = CSA of cylindrical part + CSA of hemispherical part

= 2πrh + 2πr²

Inner surface are of vessel = `2 xx 22/7 xx 7 xx 6+2 xx 22/7 xx 7 xx 7`

= 44 (6 + 7)

= `44xx13`

= 572 cm²