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Dec 21, 2014

# The surface areas of two spheres are in the ratio 1:4.find the ratio of their volumes.

The surface areas of two spheres are in the ratio 1:4.find the ratio of their volumes.

Raghunath Reddy

Member since Apr 11, 2014

Sol: Given that surface areas of two spheres are in the ratio 1:4. 4πr² : 4πR²  = 1 : 4 r : R = 1 : 2. Now ratio of volumes of two spheres  =  (4/3)πr3 : (4/3)πR3  = ⇒  r3 : R3  = 13 : 23 = 1: 8.
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