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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 23 Page 852

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

179.8in^3

Practice makes perfect

We will find the volume of 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 We are told that the circumference of the great circle is 22 inches. Let's use the formula for the circumference C of a circle to find the radius r.

C=2π r

Substitute

C= 22

22=2π r

▼

Solve for r

DivEqn

.LHS /2π.=.RHS /2π.

22/2π=r

RearrangeEqn

Rearrange equation

r=22/2π