Question

The height of a tent is $9m$ and its base diameter is $24m$ then find its slant height? Find the cost of canvas cloth required if it costs $Rs.14$ per $sq.m$.

Answer 1

Given:-

Height of tent $\left(h\right)=9m$

Base diameter of tent $=24m$

Therefore,

Base radius of tent $\left(r\right)=\frac{24}{2}=12m$

Let $l$ be the slant height of tent.

Therefore,

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

$l^2=9^2+{12}^2$

$\Rightarrow l^2=81+144$

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

Now,

Curved surface area of tent

$=\pi rl=\frac{22}{7}\times 12\times 15=\frac{3960}{7}{m}^2$

Given that the rate of canvas cloth $=Rs.14$ per square meter

Therefore,

Cost of canvas cloth required

$=14\times \frac{3960}{7}=3960\times 2=Rs.7920$