Question

In a conical tent, there is a sitting arrangement of 10 people. If each person requires a 6 m² area and each person requires 30 m³ volume. Find the height of the conical tent?
1. 10 m
2. 15 m
3. 20 m
4. 12 m

Answer 1

Correct Answer - Option 2 : 15 m

Given:

Area required by each person = 6 m²

The volume required by each person = 30 m³

Formula used:

The volume of cone = (1/3)πr²h

Area of circle = πr²

Where,

r = radius of cone

h = height of the cone

Calculation:

The total volume required by 10 people

⇒ 30 × 10

⇒ 300 m³

The total area required by 10 people

⇒ 6 × 10

⇒ 60 m²

Area of the base circle of the cone

⇒ πr² = 60

Volume of cone

⇒ (1/3)πr²h = 300

⇒ πr²h = 900

⇒ h = 900/60

⇒ h = 15 m

∴ The height of the conical tent is 15 m.