Question

A tent is cylindrical to a height of 4.8 m and conical above it. The radius of the base is 4.5 m and total height of the tent is 10.8 m. Find the canvas required for the tent in square meters.

Answer 1

Radius of cylinder, l = 4.5 m 

Height of the cylinder = h = 4.8 m 

∴ C.S.A. of the cylinder = 2πrh 

= 2 x 22/7 x 4.5 x 4.8

= 135.771 m² 

Radius of the cone ‘r’ = 

Radius of the cylinder = 4.5 m 

Height of the cone ’h’ = 10.8 – 4.8 = 6 m 

∴ Slant height of the cone

∴ C.S.A. of the cone = πrl

= 22/7 x 4.5 x 7.5

= 742.5/7 = 106.071m²

∴ Total canvas required 

= C.S.A of cylinder + C.S.A. of cone 

= 135.771 + 106.071 

= 241.842 m²