McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. Surface Areas and Volumes of Spheres
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Exercise 20 Page 852

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

11.5yd^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 are given that the radius is 1.4yards. Therefore, we can substitute 1.4 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
V=4/3Ï€ ( 1.4)^3
â–¼
Evaluate right-hand side
V=4/3Ï€ (2.744)
V=4/3(2.744)Ï€
V=10.976/3Ï€
V=11.49...
V≈ 11.5

The volume of the sphere to the nearest tenth is 11.5yd^3.