A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20m³ of air to breathe. Find the height of the cone.
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A conical tent is to accommodate 11 persons. Each person must have 4 m2 of the space on the ground and 20m3 of air to breathe. Find the height of the cone.

KnowledgeBoat · Accepted Answer

Given, Each person must have 20 m3 of air to breathe. ∴ 11 persons need 11 × 20 m3 = 220 m3 Each person must have 4 m2 of the space on the ground. ∴ 11 persons need 11 × 4 m2 = 44 m2 Base of the conical tent = area of the circle = πr2 Let height of the conical tent be h meters. Since, conical tent needs to accomodate 11 persons, so its volume will be equal to volume of air required for 11 persons. Hence, height of the tent is 15 m..

Mathematics

A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20m³ of air to breathe. Find the height of the cone.

Mensuration

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