# A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder.

3.1k views

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 π = 22/7]

by (18.2k points)
selected

It can be observed that 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

= 2 πrh + 2π r2

Inner surface area of vessel

= 2 x 22/7 x 7 x 6 +2 x 22/7 x 7

= 44(6+7)

= 44 x 13

= 572 cm2