Question

Note Use $\mathrm{\pi }=\frac{22}{7}$, unless stated otherwise.
A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m² canvas is ₹ 70, find the cost of canvas required to make the tent.

Answer 1

Radius of the conical tent, r = 24 m

Height of the conical tent, h = 10 m

∴ Slant height of the conical tent, $l=\sqrt{r^2+h^2}=\sqrt{{24}^2+{10}^2}=\sqrt{576+100}=\sqrt{676}$ = 26 m

Curved surface area of the conical tent = $\mathrm{\pi }rl=\frac{22}{7}\times 24\times 26{\mathrm{m}}^2$

The cost of 1 m² canvas is ₹ 70.

∴ Cost of canvas required to make the tent

= Curved surface area of the conical tent × ₹ 70

$=\frac{22}{7}\times 24\times 26\times 70$

= ₹ 1,37,280

Thus, the cost of canvas required to make the tent is ₹ 1,37,280.