Question

Two cones have their heights in the ratio of 1 : 3 and radii 3 : 1. The ratio of their volumes is:
1. 1 : 1
2. 3 : 1
3. 2 : 3
4. 1 : 3

Answer 1

Correct Answer - Option 2 : 3 : 1

Given:

Ratio of two cones height = 1 : 3

Ratio of two cones radius = 3 : 1

Formula used:

Volume of cone = 1/3πr²h

Calculation:

According to the question

Ratio of their volumes is

⇒ 1/3π × (3)² × 1 : 1/3π × (1)² × 3

⇒ 9 : 3

⇒ 3 : 1

∴ The ratio of their volumes is 3 : 1