Water is pumped in through the bottom of the tank in Exercise 19. How much work is done to fill the tank
(a) To a depth of 2 feet?
(b) From a depth of 4 feet to a depth of 6 feet?

Data from in Exercise 19

An open tank has the shape of a right circular cone (see figure). The tank is 8 feet across the top and 6 feet high. How much work is done in emptying the tank by pumping the water over the top edge?

y -4-2 6 2 4 16-y X