A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of Rs 25 per metre.

Width of cloth used = 5 m

Diameter of conical tent to be made = 14 m

Let the radius of the conical tent be r m

Radius of conical tent = r = diameter ÷ 2 = 14/2 m = 7 m

Height of conical tent = h = 24 m

Let the slant height of conical tent be l

So,

⇒ m²

⇒ l = 25 m

Area of cloth required to make a conical tent = Curved Surface area of conical tent

= πrl

= 22/7 × 7 × 25 m²

= 550 m²

Length of cloth used = Area of cloth required ÷ width of cloth

= 550/5 m

= 110 m

∴ Length of cloth used = 110 m

Cost of cloth used = Rs 25 per meter

Total Cost of cloth required to make a conical tent = 110 × Rs 25

= Rs 2750

∴ Total cost of cloth required to make a conical tent = Rs 2750