Question

A circus tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

Answer 1

Total canvas used = curved area of cylinder + curved area of cone

`=(2 xx 22/7 xx 32.5 xx 3 + 22/7 xx 52.5 xx 53) m^2`

`=22/7 xx 52.7 xx (6 + 53)m^2`

`= 22 xx 7.5 xx 59`

`= 9735 m^2`

So,

Area of canvas = 9735

Length × width = 9735 m²

Length × 5 = 9735

So length

`=(9735)/5`

` = 1947 "mtr".`