Question

The circumference of the base of 10 m height conical tent is 44 m.Calculate the length of canvas used in making the tent if width of canvas is 12 m.

Answer 1

Let the radius of the conical tent be r m.

Given, circumference = 44m.

Circumference = 2 πr

Therefore,  2*π * r = 44 → r = 44/2π = 7m

Slant height, l  = √(r^2+h^2) = √(7^2+10^2)=√149 m

Curved surface area of the tent = πrl = π *7* √149 = 22√149 m^2

Given, width =12m

Thus, 22√149 = 12*l

Hence, the required length of the canvas, l = 22*√149/12 = 22.4m