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Sphere and Its Surface Area

The volumes o...

Question

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is

(a) 9 : 16 (b) 16 : 9 (c) 3 : 4 (d) 4 : 3

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Solution

V₁ : V₂ =

=>

=>

Therefore R = 4 and r = 3

A₁ : A₂ =

=

= 16 : 9

Therefore the ratios of their surface areas is 16:9.
option b is correct

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Q. The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is
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The surface areas of two spheres are in the ratio 16 : 9. The ratio of their volumes is

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Sphere and Its Surface Area

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