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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 3 Page 852

The surface area of a sphere is four times the product of π and the square of the radius.

452.4yd^2

Practice makes perfect

We will find the surface area of a sphere, and we are given the area of the great circle. The surface area of a sphere is four times the product of π and the square of the radius. S=4π r^2 Recall that the area of the great circle is the product of π and the square of the radius. A=π r^2 We are given that the area of the great circle is 36π yd^2. Let's substitute the given area for A and find the radius of the sphere.

A=π r^2

Substitute

A= 36π

36π=π r^2

DivEqn

.LHS /π.=.RHS /π.

36=r^2

SqrtEqn

sqrt(LHS)=sqrt(RHS)

6=r

RearrangeEqn

Rearrange equation