The volume of a sphere is four thirds the product of π and the cube of the radius.
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Practice makes perfect
The volume of a sphere is four thirds the product of π and the cube of the radius.
V=4/3π r^3
Recall that the area of the great circle is the product of π and the square of the radius.
A=π r^2
We are given that the area of the great circle is 55π square inches. Let's substitute the given area for A and find the radius of the sphere.
By taking the positive square root of each side we have that r= sqrt(55). Therefore, we can substitute sqrt(55) for r into the formula for the volume of a sphere to calculate V.
