A conical tent is to accommodate 77 persons. Each person must have 16 m³ of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.
Mensuration
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Question

A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.

KnowledgeBoat · Accepted Answer

Given, Each person must have 16 m3 of air to breathe. ∴ 77 persons need 77 × 16 m3 = 1232 m3 Radius of the tent (r) = 7 m Let height of the conical tent be h meters. Since, conical tent needs to accomodate 77 persons, so its volume will be equal to volume of air required for 77 persons. By formula, l2 = r2 + h2 ⇒ l2 = 72 + 242 ⇒ l2 = 49 + 576 ⇒ l2 = 625 ⇒ l = = 25 m Curved surface area of the tent = πrl Hence, height of the tent is 24 m and curved surface area of the tent is 550 m2.

Mathematics

A conical tent is to accommodate 77 persons. Each person must have 16 m³ of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.

Mensuration

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