SOLUTION: suppose the ratio of the volumes of two balls is 8 to 1. What is the ratio of their radii?

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Question 567096: suppose the ratio of the volumes of two balls is 8 to 1. What is the ratio of their radii?
Answer by richard1234(7193) About Me  (Show Source):
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Volume is a function of r^3 (r is radius), and changing the unit length by a constant k will change the volume by a factor of k^3. Here, 8:1 = (2^3):(1^3) so the ratio of the radii must be 2:1.