I have a cyclindar that is 7 m high, 14 meters in diameter, and 7 m wide. I need to use a definite integral to determine the volume of this taking slices from the bottom to the top of it. So, I need to evalute the integral from 0 to 7 of pi (7-h)2 and since it is only half a cyclindar I would multiple the whole integral by 1/2. Am I close to right here???? THis is the most confusing assignment I have come up against and I do not have a way to check if I am doing this correctly. Thanks for the assistance all you smart math folks.