I need help with these four math questions.

Problem 5 A tank is lled with sea water of density p in kg/m3. Its shape is obtained by rotating the curve y = , With 0 S a: S 4 AROUND the YAXIS. DRAW A SKETCH AND SET UP, but DO NOT EVALUATE, an integral representing the work that is required to pump all the sea water out of the tank (from the top of the tank). All the length mentioned are in unit of meter (m). Note that the gravitational constant is g (Tn/32). Problem 5. A cylindrical tank rests on its side so that its circular base, which has a radius of 2 meters and a length of 5 meters, is perpendicular to the ground. [PIC] (a) Express the hydrostatic force on one side of the tank as an integral if the tank is lled halfway with a uid of mass density 6 kilograms per cubic meter and the acceleration due to gravity is 9 meters per second squared. Do not evaluate the integral. (b) A crane lifts this tank to a height of 15 meters at a rate of 0.5 meters per second. As the tank is lifted, the uid leaks out at a rate of 0.2 cubic meters per second. Express the work performed on the tank as an integral. Do not evaluate the integral. Problem 5 (15 points) A cylindrical tank with a diameter of 10 meters and length of 30 meters contains a liquid of density p = 2000 kilograms per cubic meter. The depth of the liquid is 3 meters. Diameter Depth Length of Tank Set up, but do not evaluate, an integral representing the the work required to pump enough liquid out to the top of the tank to reduce the depth of the remaining liquid to 1 meter.6. [16 points] A tank has the shape of an inverted Circular cone with height 12 m and base radius 5 In. It is lled with oil to a height of 8m. Find the work required to empty the tank by pumping all of the oil to the top of the tank. (The density of oil is 900 kg/m3. Use 9 for the gravitational constant.)