Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
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Exercise 3 Page 609

The volume of a sphere is four thirds the product of π and the cube of the radius.

about 2144.7mm^3

Practice makes perfect

Consider the given sphere.

The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 In the diagram, we can see that the radius is 8mm. Therefore, we can substitute 8 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 8)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (512)
V=4/3(512)Ï€
V=4(512)/3Ï€
V=2048/3Ï€
V=2144.660584...
V≈ 2144.7

The volume of the sphere, rounded to the nearest tenth, is 2144.7 cubic millimeters.