Question

A tent in the form of a cylinder whose height is 5 m surrounded by a cone of equal base. The diameter of base is 105 m. The slant height of the cone is 50 m. Find the cost of cloth at 15 rupees per sq metre to make the tent

Answer 1

Answer:

Cost of Cloth to make tent is Rs. 74250

Step-by-step explanation:

Given: A tent is formed with cylinder as base and cone is surmounted on it.

            Height of cylinder, h = 5 m

            Diameter of base = 105 m

             Slant height of cone, l = 50 m

            Cost of 1 m² cloth = Rs. 15

To find: Total cost of of cloth to make a tent.

Radius of cylinder =  radius of cone, r = $\frac{105}{2}$ = 52.5 m

Area of cloth of tent =  curved surface are of cylinder + curved

                                      surface area of cone

                                 = $2\,\pi\,r\,h\:+\;\pi\,r\,l$

                                 = $2\times\frac{22}{7}\times52.5\times5\:+\:\frac{22}{7}\times52.5\times50$

                                 = $22\times15\times5\:+\:11\times15\times50$

                                 = 1650 + 3300

                                 = 4950 m²

Total cost of cloth = 4950 × 15

                               = Rs. 74250

Therefore, Cost of Cloth to make tent is Rs. 74250