Question

A tent is the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of its base is 14 m. Find the cost of cloth required to make the tent at the rate of Rs.80 per square metre. [Take $\pi =\frac{22}{7}$].

Answer 1

CSA of tent $=$ CSA of cylinder $+$ CSA of cone

$=2\pi rh+\pi rl$

$=\pi (2\times 14\times 3+14\sqrt{{14}^2+{10.5}^2})$

$=\pi (84+14\times 17.5)$

$=\pi (84+245)$

$=\frac{22}{7}\times 317$

$=1034m^2$

Cost of cloth required $=1034\times 80$

$=Rs.82720$