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 29 Page 612

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

C

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 5ft. Therefore, we can substitute 5 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 5)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (125)
V=4/3(125)Ï€
V=4(125)/3Ï€
V=500/3Ï€

Now, we can substitute 3.14 for π and simplify the equation even further.

V=500/3Ï€
V=500/3( 3.14)
â–¼
Solve for V
V=500(3.14)/3
V=1570/3
V=523.3
V≈523.3

The volume of the sphere, rounded to the nearest tenth, is 523.3 cubic feet. This result corresponds to answer C.