Question

A tent is in conical shape. If diameter of its base is 30m and slant height is 21m, find the cost of cloth, 2m in width at Rs. 50 per meter

Answer 1

Here is your answer and hope it will help you.

Answer 2

The cost of the cloth wrapped around the tent is Rs. 24,750 .

• A tent in a conical shape has a circular base.

• Given,

Diameter of the base (D) = 30 m

=> Radius (r) = D/2 = 30 m / 2

Or, r = 15 m

• Slant height of the conical tent = 21 m

• Cloth is put around the curved surface of the tent.

Therefore, curved surface area (C.S.A.) = πrl

where r is the radius of the base of the tent,

and l is the slant height of the tent.

• C.S.A. of the tent = (22/7) × 15 m × 21 m

Or, C.S.A. = 22 × 15 × 3 m

• Width of the cloth is given as 2 m.

Length of the cloth = Area of the cloth / width

• Area of the cloth = C.S.A. of the tent

=> Area of the cloth = 22 × 15 m × 3 m

=> Length of the cloth required (L) =

(22 × 15 m × 3 m} / 2 m

=> L = 11 × 15 × 3 m

• Rate of the cloth = Rs. 50 per metre

=> Cost of the cloth wrapped around the tent = Rs. 50 × L

Or, Total cost = Rs. 50 × 11 × 15 × 3

Or, Total cost = Rs. 24,750