1) 2) An upright cylinder has a density that varies as a function of x, the distance from the base of the cylinder, according to the function p(x) = 10901" g/cm3. The cylinder has a radius of 6 cm and a height of 12 cm. Use an integral to calculate the total mass of the cylinder. Include a well-labeled sketch. A cone with height 12 ft. and radius 4 ft., pointing downward, is filled with water to a depth of 9 ft. Water weighs 62.4 lb./ft3. Find the work required to pump all the water out over the top. Include a welllabeled sketch that shows how you are defining your variable