Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
Continue to next subchapter

Exercise 1 Page 608

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

about 4188.8ft^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 10ft. Therefore, we can substitute 10 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 10)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (1000)
V=4/3(1000)Ï€
V=4(1000)/3Ï€
V=4000/3Ï€
V=4188.790204...
V≈ 4188.8

The volume of the sphere, rounded to the nearest tenth, is 4188.8 cubic feet.