The curved surface area of two spheres are in the ratio 1:4. Find ratio of their volumes.
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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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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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