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The volume of a cylinder is 441π in3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter. Use the formula:

V = πr²h

 Apr 30, 2020
 #1
avatar+111438 
+2

Vcylinder  =  pi * r^2 * h

 

441 pi  = pi * r^2  * 9          divide both sides  by 9 pi

 

441/9  = r^2                         take the positive root

 

21/3  = r  = 7

 

So  the diameter  =  2 * r  =   2 * 7    = 14 in

 

 

cool cool cool

 Apr 30, 2020
 #2
avatar+902 
-3

you know the volume, and formula.

 

441π  = π r^2 * 9

 

So essentially r^2 * 9 = 441.

 

Isolate the variable.

 Apr 30, 2020

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