Acylinder has a surface area of 5652 square millimeters. if the diameter of the cylinder is 30 millimeters, what is the height? show work

The formula for the surface area of a cylinder is:



Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):



Simplify:



Subtract 1413 to both sides:



Divide 94.2 to both sides:



So the height is approximately 45 millimeters.

These graph is cross the yaxis and x axis two ways.