SOLUTION: what is the volume (in cm3) of a softball that has a circumference of 27 cm

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A softball is a sphere. The formula for volume of a sphere is:

From this formula we can see that in order to find the volume of a sphere all we need to know is "r" (which is the radius).

But we don't know the radius. We do know the circumference however. The formula for circumference is:

So with the circumference, we can find the radius:

Divide both sides by :

We can now use this in the volume formula:

To find the exact volume, leave in the expression and simplify the expression as much as possible:

One cancels and so does a 4 and a 3 leaving:

which is the exact volume. If you want a decimal approximation of the volume, substitute a decimal approximation of . (3.14 is commonly used as a decimal approximation for .) A decimal approximation of the V is about .