ind the volume of the "spherical cap" shown in the diagram. The sphere has a radius r, and the "cap" has a radius a, and height h. the "cap' is the solid region that is the top portion of the sphere in the picture. It is the region that is bounded above by the surface of the sphere and below by a plane that intersects the sphere a distance h from the top of the sphere.

2. A cylindrical tank contains oil (use density as p in lb/ ft'). The radius of the tank is 3 feet, the length is 12 feet and oil enters and leaves the tank through an opening at the top. The tank is initially full of oil. Use the sketch below and complete each step below to find the work done in pumping all of the oil out of the opening at the top of the tank. You must use the axis provided. No calculators. (a) Find and expression for the volume of a single representative "slab" of oil that will move out of the tank. (b) Find the expression for the distance any single representative "slab" of oil must move to get out of the tank. (c) Find the expression for the force of a single representative "slab" of oil. (d) Set up (BUT DO NOT SOLVE), the Reimann sum that approximates the total work done in pumping all of the oil out of the tank.

step by step and please make everything clear

please see image