Question

A solid toy is in the form of a hemisphere surmounted by a right circular cone. If radius of the cone and the total height of the toy are 7 cm and 31 cm respectively. Find the total surface are of the toy. \(\left( Take\; \pi =\frac { 22 }{ 7 } \right) \)

Answer 1

Given,

The common radius of conical part and

hemispherical part of the toy (r) = 7 cm.

Total height of the toy = 31 cm

Hence, the height of conical part 

= 31 – 7 = 24 cm

Slant height of conical part l

Total surface area of toy

= Surface of conical part + curved surface area of hemispherical part

Hence, total surface area of toy = 858 cm²