Q. 165.0( 2 Votes )

Answer :

Let suppose the radius of first spheres = r

And the radius of second spheres = R

As per the question,

Surface area of the first sphere /Surface area of the second sphere = 4/25

⇒ 4πr^{2}/4πR^{2} = 4/25

⇒ (r/R)^{2} = 4/25

⇒ r/R = √4/25

⇒ r/R = 2/5 …………………(i)

Now,

= (r/R)^{3}

= (2/5)^{3} …………………[Using (i)]

= 8/125

= 8 : 125

So,

The ratio of the volumes of the given spheres will be 8 : 125

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