Question

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The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?

1
5
8
25
40
64
125
512

Answer 1

25:64

Explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64