Question

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

Answer 1

For cylinder:
Height of cylinder (h) = 3 m
Base radius of cylinder (r) = 52.5 m
For cone:
Slant height of cone (l) = 53 m
Base radius of cone = Base radius of cylinder (r) = 52.5 m

∴ Area of canvas required = πrl+2πrh sq. units
= πr(l+2h) sq. units
=( $\frac{22}{7}\times 52.5$)(53+2×3) m²
=$\frac{22}{7}\times 52.5\times 59$ m² = 9,735 m²
Hence, area of canvas needed to make the tent = 9,735 m²