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Question
If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.
Solution
Let the ratio of their radii is r1 : r2
r1 : r2 = 4 : 7
Ratio of their volumes
V1 : V2 = `4/3pi"r"_1^3 : 4/3 pi"r"_2^3`
= `"r"_1^3 : "r"_2^3`
= 43 : 73
Ratio of their volumes = 64 : 343
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