Question

A circus tent is cylindrical up to a height of $3m$ and conical above. If the diameter of the base is $105m$ and the slant height of the conical part is $53m$, find the total canvas used in making the tent.

Answer 1

We have

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

Total canvas used $=(2\times \frac{22}{7}\times 52.3\times 3+\frac{22}{7}\times 52.5\times 53)m^3[\because S=2\pi rh+\pi rl]$

$=\frac{22}{7}\times 52.5(6+53)m^2=9735m^2$