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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 19 Page 852

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

4.2cm^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 2cm. Therefore, the radius is 2÷ 2=1cm. We can substitute this value for r in the above formula and simplify the right-hand side.

V=4/3π r^3

Substitute

r= 1

V=4/3π ( 1)^3

▼

Evaluate right-hand side

CalcPow

Calculate power

V=4/3π (1)

IdPropMult

Identity Property of Multiplication

V=4/3π