A conical tent is to accommodate 12 persons. Each person must have 5 m2 of the space on the ground and 20 m3 of air to breathe. The height of the tent should be:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12m.
Total ground area = 12 × 5 = 60 m²
Total volume = 12 × 20 = 240 m³
Volume of cone = (1/3) × (base area) × height = (1/3) × 60 × h = 20h
So 20h = 240 ⇒ h = 12 m