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Glencoe Math: Course 3, Volume 2 View details

3. Volume of Spheres

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Exercise 4 Page 609

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

about 1288.2cm^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 diameter is 13.5cm. Therefore, the radius is 13.5÷ 2= 6.75cm. We can substitute this value for r in the above formula and simplify the right-hand side.

V=4/3π r^3

Substitute

r= 6.75

V=4/3π ( 6.75)^3

▼

Evaluate right-hand side

CalcPow

Calculate power

V=4/3π (307.546875)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(307.546875)π