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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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