McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
6. Surface Areas and Volumes of Spheres
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Exercise 5 Page 852

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

4188.8ft^3

Practice makes perfect

The volume of a sphere is four-thirds the product of π and the cube of the radius. V=4/3π r^3 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=4000/3Ï€
V=4188.79...
V≈ 4188.8

The volume of the sphere to the nearest tenth is 4188.8ft^3.