Question

A conical tent has to accommodate 25 persons. Each person must have 4 m² of space on the ground and 80 m³ of air to breathe. Find the height of the tent.
1. 50 m
2. 45 m
3. 60 m
4. 40 m

Answer 1

Correct Answer - Option 3 : 60 m

Given - 

A conical tent has to accommodate 25 person and each one take 4 m² space on the ground and 80 m³ of air to breathe.

Formula used = 

volume of cone = (1/3) × area of base × height

Solution - 

Let the height of the cone be h m.

⇒ (1/3) × 4 × 25 × h = 80 × 25

⇒ h = 60 m.

∴ the height of the conical tent is 60 m.