+0

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

0
305
1
+21

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

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

mathhelpneed42  Mar 5, 2015

#1
+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
Sort:

#1
+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

### 22 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details