The volume (V) of a sphere varies directly with the cube of its radius (r). If k is the constant of proportionally, which is the formula for this relationship?

Question

Mathematics

Waylon Williamson

9 December, 22:25

The volume (V) of a sphere varies directly with the cube of its radius (r). If k is the constant of proportionally, which is the formula for this relationship?

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Answers (1)

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Paige Rosales · Answer 1

This should be relatively easy, since most of us have learned and used the formula for the volume of a sphere: V = (4/3) * pi * r^3.

Just combine (4/3) pi into a single value, k, which results in V = kr^3.