Question

The height of a tent is $9m$. Its base diameter is $24m$. What is its slant height? Find the cost of canvas cloth required if it costs $Rs14$ per sq.m.

Answer 1

Diameter$=24$m

Radius$=12$m

Height$=9$m

Slant height$=l$

So, $l^2=r^2+h^2$

$\Rightarrow l^2={12}^2+9^2=144+81=225$

$\Rightarrow l=\sqrt{225}=15$m

C.S.A of cone$=\pi rl=\frac{22}{7}\times 12\times 15=565.71m^2$

Cost of tent$=$Area$\times$Cost of $1$sq.m

$=565.71\times 14=$Rs.$7919.94$