2. A right square pyramid is inverted so it is pointing down. The pyramid’s base has an area of 100 square centimeters and the area of one face is 60 square centimeters.

a. What is the volume of the pyramid?

b. The pyramid was filled with a solution. Some of the solution was drained out the vertex of the pyramid into a cylindrical dish with a radius of four centimeters. The level of liquid in the pyramid dropped three centimeters. How deep is the solution in the dish?