Question

A conical tent is 12 m high and the radius of its base is 9 m. The cost of canvas required to make the tent at the rate of ₹14 per m², is __________.

Answer 1

Radius of the conical tent, r = 9 m

Height of the conical tent, h = 12 m

Let l be the slant height of the conical tent.

$\therefore l=\sqrt{r^2+h^2}=\sqrt{{\left(9\right)}^2+{\left(12\right)}^2}=\sqrt{225}=15\mathrm{m}$

Now,

Area of the canvas required to make the tent = Curved surface area of the conical tent $=\mathrm{\pi }rl=\frac{22}{7}\times 9\times 15=\frac{2970}{7}$ m²

Rate of the canvas = ₹14 per m²

∴ Cost of the canvas required to make the tent

= Area of the canvas required to make the tent × Rate of the canvas

$=₹\frac{2970}{7}\times 14$

= ₹5,940

Thus, the cost of canvas required to make the tent is ₹5,940.

A conical tent is 12 m high and the radius of its base is 9 m. The cost of canvas required to make the tent at the rate of ₹14 per m², is __₹5,940__.