Chapter 14 - Mensuration

Example 7. A circus tent is cylindrical to a height of 3m and conical above it. If its base radius is 52.5m and slant height of the conical portion is 53m, find the area of the canvas needed to make the tent.

Solution:- Radius of the cylinder

= Radius of the cone = 52.5m

Height of the cylinder = 3m

Slant height of the cone = 53m

Area of the canvas = curved surface area of cone + curved surface area of cylinder

Example 8. A boiler is in the form of cylinder 2m long with hemispherical ands each of 2m diameter. Find the volume of the boiler.

Solution:- Length of cylindrical portion = h = 2m

Radius of cylinder = Radius of hemisphere

&bsp;                                 = r = 1m

Volume of boiler = Volume of cylinder + volume of two hemispheres