Question

The radius of the base of a conical tent is 12m, the tent is 9m high. Find the cost of canvas required to make the tent, if 1m2 of canvas costs Rs.120? take pie as 22/7

Answer 1

Answer:

Rs. 67885.20 of canvas will be required to make the tent.

Step-by-step explanation:

Given the radius of the tent = 12m

The height of the tent = 9m

We know that the curved surface area of the tent = πrl

where, r = radius of the tent

            l = slant height of the tent = $\sqrt{h^{2} + r^{2} }$

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

            l = $\sqrt{81 + 144}$

            l = $\sqrt{225 }$

            l = 15m

Therefore, curved surface area =  πrl

                                                    = $\frac{22}{7}$ * 12 * 15

                                                    = $\frac{22}{7}$* 180

                                                    = 565.71m²

It is given that 1m² of canvas cost Rs. 120

Therefore, 565.71 m² of canvas cost = Rs. 120 * 565.71

                                                            = Rs. 67885.20

Therefore, Rs. 67885.20 of canvas will be required to make the tent.