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If the radius of the new hemispherical container is tripled of that of the radius of the old hemispherical container, then find the ratio of the volume of the new container to the old container.

If the radius of the new hemispherical container is tripled of that of the radius of the old hemispherical container, then find the ratio of the volume of the new container to the old container. Correct Answer 27 : 1

Given

Radius of new hemispherical = 3 × Radius of old hemispherical

Formula

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

Calculation

Volume of new container/Volume of old container = (2/3)πr1)3/(2/3)πr2​3

= (r1/r2)3

= (3/1)3

= 27/1 = 27 : 1

Shortcut Trick

Volume ∝ Radius3     

∴ Ratio of volume = 33/13 = 27 : 1

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