A hemispherical tank has a diameter of 30 feet the height of the water in the tank is 10 feet.

Hello I need help with a few single variable calculus problems.

1. A hemispherical tank has a diameter of 30 feet the height of the water in the tank is 10 feet. How much work is required to pump all the water in the tank out to a height of 5 feet above the top of the tank?
2. The temperature of a metal rod, 5 meters long, is sin x/5 in Celsius at a distance of x meters from one end of the rod. What is the average temperature of the rod? At what distance from the end of the rod does the temperature of the rod equal its average temperature. What theorem will guarantee this result?
3. Let R be the region in the first quadrant bounded by the curves y = x^3 and y = 2x - x^2. The volume of the solid obtained by revolving R about the line x =-1 use the method of cylindrical shells.

Thank you!