+0  
 
0
423
1
avatar+21 

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+90088 
+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
 #1
avatar+90088 
+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

19 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.