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The radius of large hemisphere is thrice times the radius of small hemisphere. Find the ratio of difference between the volume of large hemisphere and the volume of small hemisphere to the volume of smaller hemisphere?

The radius of large hemisphere is thrice times the radius of small hemisphere. Find the ratio of difference between the volume of large hemisphere and the volume of small hemisphere to the volume of smaller hemisphere? Correct Answer 26 ∶ 1

Given:

Radius of large hemisphere = 3 × radius of small hemisphere

Concepts used:

Volume of hemisphere = (2/3) × π × (radius)3

Ratio =

Calculation:

Let radius of small hemisphere be r units.

⇒ Radius of large hemisphere = 3r

Volume of small hemisphere = 2πr3/3 units

⇒ Volume of large hemisphere = 2π/3 × (3r)3 units = 18πr3 units

Ratio = = 26 ∶ 1

∴ Ratio of difference between the volume of large hemisphere and the volume of small hemisphere to the volume of smaller hemisphere is 26 ∶ 1.

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