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 17 Page 611

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

about 3053.6in.^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 9inches. Therefore, we can substitute 9 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 9)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (729)
V=4/3(729)Ï€
V=4(729)/3Ï€
V=2916/3Ï€
V=972Ï€
V=3053.628059...
V≈ 3053.6

The volume of the sphere, rounded to the nearest tenth, is about 3053.6 cubic inches.