# To find the values of the given function S ( r ) = 4 π r 2 for r = 2 and r = 3 . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 70E

a.

To determine

## To find the values of the given function S(r)=4πr2 for r=2 and r=3 .

Expert Solution

The value of given equation for r=2 is s(2)=50.27 cm2

and for r=3 is s(3)=113.1  cm2 .

### Explanation of Solution

Given: The given function S(r)=4πr2 .

Calculation:

Plug r=2 in S(r)=4πr2

s(2)=4π(2)2      =50.27 cm2s(3)=4π(3)2      =113.1  cm2

Thus, the value of given equation for r=2 is s(2)=50.27 cm2

and for r=3 is s(3)=113.1  cm2 .

b.

To determine

### Representation of the answers obtained in part a.

Expert Solution

The representation of S(2) of a sphere of radius r=2 is s(2)=50.27 cm2

While s(3) of a sphere of radius r=3 is . s(3)=113.1  cm2

### Explanation of Solution

From part a, S(2) represent the surface area of a sphere of radius r=2

While s(3) represent the surface area of a sphere of radius r=3

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