If the ratio of radii of two spheres is 6 : 11. Find the ratio of thei

1.	If the ratio of radii of two spheres is 6 : 11. Find the ratio of their volume.1. 216/13312. 123/4413. 145/5614. 147/881
Answer» Correct Answer - Option 1 : 216/1331 Given: Ratio of radii of two spheres = 6 : 11 Formula used: Volume of sphere = 4/3 × (π) × (r)³ Where, r represents radius of sphere. Calculation: Let r₁ and r₂ are the radii of first and second sphere. Volume of first sphere/Volume of second sphere = [(4/3)π(r₁)³]/[(4/3)π(r₂)³] Let radius of spheres be 6x and 11x. ⇒ (4/3) × π × (6x)³/[(4/3) × π × (11x)³] ⇒ (6 × 6 × 6)/(11 × 11 × 11) ⇒ 216/1331

If the ratio of radii of two spheres is 6 : 11. Find the ratio of their volume.1. 216/13312. 123/4413. 145/5614. 147/881

Answer» Correct Answer - Option 1 : 216/1331

Given:

Ratio of radii of two spheres = 6 : 11

Formula used:

Volume of sphere = 4/3 × (π) × (r)³

Where, r represents radius of sphere.

Calculation:

Let r₁ and r₂ are the radii of first and second sphere.

Volume of first sphere/Volume of second sphere = [(4/3)π(r₁)³]/[(4/3)π(r₂)³]

Let radius of spheres be 6x and 11x.

⇒ (4/3) × π × (6x)³/[(4/3) × π × (11x)³]

⇒ (6 × 6 × 6)/(11 × 11 × 11)

⇒ 216/1331

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If the ratio of radii of two spheres is 6 : 11. Find the ratio of their volume.1. 216/13312. 123/4413. 145/5614. 147/881

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