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 16 Page 611

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

about 696.9cm^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 diameter is 11cm. Therefore, the radius is 11÷ 2= 5.5cm. We can substitute this value for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 5.5)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (166.375)
V=4/3(166.375)Ï€
V=4(166.375)/3Ï€
V=665.5/3Ï€
V=696.909970...
V≈ 696.9

The volume of the sphere, rounded to the nearest tenth, is about 696.9 cubic centimeters.