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, then find the total area of the canvas required.

Answer 1

We have,

Height of the cylindrical part, H = 4 m,

Radius of the base, `r = 105/2 "m"` and

Slant height of the conical part, l = 40 m

Now,

The total area of canvas required = CSA of conical part + CSA of cylindrical part

= πrl + 2πrH

= πr(l + 2H)

`=22/7xx105/2xx(40+2xx4)`

= 11 × 15 × 48

= 7920 m²

So, the area of the canvas required to make the tent is 7920 m².