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

#1**+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**+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