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First - our basic formulas:

Circumference = 2 x Pi x Radius . . . . C = 2πr

Sphere Volume = 4/3 x Pi x Radius x Radius x Radius . . . . VS = 4πr3/3

Using our circumference of 85cm, we can solve for r as follows:

85 = 2πr

r = 85/2π

taking 3.14159 for Pi we get

r = 133.51757

Substituting 133.51757 into our volume equation we get:

VS = 4 x π x 133.517573/3

VS = 9,970,191.53253 cm3

If your instructor dislikes decimals, the solution looks like this:

VS = 4/3 x π x (85/2π)3

VS = 4/3 x π x 614,125 x π3/8

VS = 4/3 x 614125 x π4 /8

VS = 614,125π4/6

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Q: What is the volume of a ball that has a circunference of 85 cm?
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