If the radius of a sphere gets tripled then find the ratio of the volume of the original sphere to that of the new sphere.
1. 27 : 1
2. 1 : 9
3. 1 : 27
4. 9 : 1
1. 27 : 1
2. 1 : 9
3. 1 : 27
4. 9 : 1
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Correct Answer – Option 3 : 1 : 27
Given:
New sphere radius = 3 × Radius of the original sphere
Formula used:
Volume of sphere: (4/3) × π × (radius)3
Calculation:
Let the radius of the original sphere be r cm.
And, the radius of the new sphere = 3r
∴ Required ratio: [(4/3)πr3]/[(4/3)π(3r)3]
⇒ 1: 27