Asked by hewhomustbenamed82

Show that there exist a sphere with radius r є(0,1) and a cube with side
r + 1/2 with the same volume. (Volume of the sphere with radius r is 4/3πr^3, and the volume
of a cube with side a is a^3).
Answered by Steve
what's the trouble? You just need to solve

4/3 pi r^3 = (r + 1/2)^3
r = 0.817 є (0,1)
Answered by eva
how did you solve this?
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