Question

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is ______.

Options

• 1760 m²

• 2640 m²

• 3960 m²

• 7920 m²

Answer 1

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is 7920 m².

Explanation:

Total area of the canvas required = (Curved surface area of the cylinder) + (Curved surface area of the cone)

= (2πrh + πrl)

`= (2xx22/7xx105/2xx4)+(22/7xx105xx40)   ["d" = 105 "cm" r = 105/2 "cm"]`

`=(1320 + 6600) m^2` 

= 7920 m²