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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=4/3π r^3

r= 10

V=4/3π ( 10)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (1000)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(1000)π

MoveRightFacToNum

a/c* b = a* b/c

V=4000/3π

Use a calculator

V=4188.79...

Round to 1 decimal place(s)

V≈ 4188.8

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

Subchapter links

Exercises p.852-855