A conical tent is 10 m high and the radius of its base is 24 m. Find
(i) slant height of the tent.
(ii) cost of the canvas required to make the tent, if the cost of 1 m2canvas is rs 70
Radius of the base (r) = 24 m
Height of the conical tent (h) = 10 m
Let l be the slant height of the cone.
∴ l2 = h2 + r2
⇒ l = √h2 + r2
⇒ l = √102 + 242
⇒ l = √100 + 576
⇒ l = 26 m
(ii) Canvas required to make the conical tent = Curved surface of the cone
Cost of 1 m2 canvas = rs70
∴ πrl = (22/7 × 24 × 26) m2 = 13728/7 m2
∴ Cost of canvas = rs 13728/7 × 70 = rs 137280
