Question

How many metres of cloth, $2.5m$, wide will be required to make a conical tent whose base radius is $7m$ and height $24m$?

Answer 1

It is given that

Radius of the conical tent $=7m$

Height of the conical tent $=24m$

We know that

Slant height $l=\sqrt{(r^2+h^2)}$

By substituting the values

$l=\sqrt{(7^2+{24}^2)}$

On further calculation

$l=\sqrt{(49+576)}=\sqrt{625}$

So we get

$l=25m$

We know that

Area of the cloth $=\pi rl$

By substituting the values

Area of the cloth $=\frac{22}{7}\times 7\times 25$

On further calculation

Area of the cloth $=550m^2$

We know that

length of the cloth = area/width

By substituting the values

Length of the cloth $=\frac{550}{2.5}=220m$

Therefore, $220m$ of cloth is required to make the conical tent.