1. The problem statement, all variables and given/known data A rectangle with a perimeter of 40 cm is rotated around one of its sides creating a right cylinder. What is the largest possible volume for this cylinder? 2. Relevant equations Volume of a cylinder= pi*r^2*h Perimeter of a rectangle= 2x + 2L 3. The attempt at a solution I know one of my equations is 40=2x+2h And then I isolated h by itself and got: h= 40-2x / 2 But for my volume equation I have two variables on one side(r & h) and thats where I'm stuck. I don't understand how the perimeter of the rectangle can relate to the volume of the cylinder. How am I suppose to write x in terms of radius? The answer on the back of my textbook says 3723.37cm^3 for what its worth.