If the radius of a sphere gets tripled then find the ratio of the volu

1.	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 : 12. 1 : 93. 1 : 274. 9 : 1
Answer» 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

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 : 12. 1 : 93. 1 : 274. 9 : 1

Answer» 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

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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 : 12. 1 : 93. 1 : 274. 9 : 1

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