If the surface area of two spheres is in the ratio 49 : 25, then the r

1.	If the surface area of two spheres is in the ratio 49 : 25, then the ratio of their volumes will be:1. 64 : 272. 25 : 493. 343 : 644. 343 : 125
Answer» Correct Answer - Option 4 : 343 : 125 Given : The surface area of two spheres are in ratio = 49 : 25 Formula used : \(Area of sphere = 4πr^2 \) \(Volume \ of \ sphere = \frac{4}{3} π r^3\) Calculation: According to question ⇒ \( 4πR^2 : 4πr^2 = 49 : 25\) ⇒ R : r = 7 : 5 ⇒ \(Volume\ of \ sphere = \frac{4}{3}( π 7^3): \frac{4}{3} (π 5^3)\) Hence R^{3 :}r ³is 343 : 125.

If the surface area of two spheres is in the ratio 49 : 25, then the ratio of their volumes will be:1. 64 : 272. 25 : 493. 343 : 644. 343 : 125

Answer» Correct Answer - Option 4 : 343 : 125

Given :

The surface area of two spheres are in ratio = 49 : 25

Formula used :

\(Area of sphere = 4πr^2 \)

\(Volume \ of \ sphere = \frac{4}{3} π r^3\)

Calculation:

According to question

⇒ \( 4πR^2 : 4πr^2 = 49 : 25\)

⇒ R : r = 7 : 5

⇒ \(Volume\ of \ sphere = \frac{4}{3}( π 7^3): \frac{4}{3} (π 5^3)\)

Hence R^{3 :}r ³is 343 : 125.

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If the surface area of two spheres is in the ratio 49 : 25, then the ratio of their volumes will be:1. 64 : 272. 25 : 493. 343 : 644. 343 : 125

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