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Volume of cylinder is 3600pi^3 and the height is 16 how do I find surface area.

How do I go about this?

(I've taken out the units but they're inches if that matters...)

mathhelpneed42  Mar 5, 2015

Best Answer 

 #1
avatar+85720 
+10

We need to find the radius.....

The volume is given by

Vcylinder = (4/3) pi r^(3)   ....so we have

3600pi^3  = (4/3)pi r^3      .....multiply by (3/4) and divide by pi

(3/4)3600pi^2  = r^3

2700pi^2  = r^3       take the cube root of each side

r = 29.87

To find the surface area (inckuding the top amd bottom), we have

Sa = 2pi (r * h + r^2)     where r is the radius and h is the height

Sa = 2pi( 29.87 * 16 + 29.87^2)  =  8608.82 cubic inches

 

  

CPhill  Mar 5, 2015
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1+0 Answers

 #1
avatar+85720 
+10
Best Answer

We need to find the radius.....

The volume is given by

Vcylinder = (4/3) pi r^(3)   ....so we have

3600pi^3  = (4/3)pi r^3      .....multiply by (3/4) and divide by pi

(3/4)3600pi^2  = r^3

2700pi^2  = r^3       take the cube root of each side

r = 29.87

To find the surface area (inckuding the top amd bottom), we have

Sa = 2pi (r * h + r^2)     where r is the radius and h is the height

Sa = 2pi( 29.87 * 16 + 29.87^2)  =  8608.82 cubic inches

 

  

CPhill  Mar 5, 2015

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