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What is the volume of a sphere with a surface area of ​ 16π ​ft²?

8π ​ ft³

1023π ​​ ft³

2113π ​ ft³

8513π ft³

 

-Thanks :) 

sii1lver  Feb 22, 2018
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1+0 Answers

 #1
avatar+86622 
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We need to find the radius...

 

The surface area is given by :      4 pi * r^2

 

So

 

16 pi  =  4 pi * r^2     divide both sides by pi

 

16  = 4r^2     divide both sides by 4

 

4  = r^2       take the positive root

 

2  ft  = r

 

So...the volume of a sphere is

 

(4/3) pi ( radius)^3  =

 

(4/3) pi (2) ^3

 

(4/3) pi * 8

 

(32/3) pi   ft^3   ≈   10.66 pi  ft^3

 

None of the given answers are correct  !!!

 

 

 

cool cool cool

CPhill  Feb 22, 2018

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