Question

If the ratio of the volumes of two spheres is 1:8 then ratio of their surface areas is(a) 1:2       (b) 1:4     (c) 1:8     (d) 1:16

Solution

ANSWER: (b) 1 : 4 Suppose that r and R are the radii of the spheres. Then we have: 43πr343πR3=18 ⇒(rR)3=18 ⇒rR=12 ∴ Ratio of surface area of spheres = 4πr24πR2=(rR)2=14

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