Chapter 6.4, Problem 3PT

A circular tank with radius 1 m and height 2 m is filled with a liquid whose density is 250 kg/m³. Find a definite integral for the work done pumping all the liquid over the top edge.

1. a) ${\displaystyle {\int }_0^1(250)(9.8)(2\text{π})xdx}$
2. b) ${\displaystyle {\int }_0^1(250)(9.8)(\text{π})xdx}$
3. c) ${\displaystyle {\int }_0^2(250)(9.8)(2\text{π})xdx}$
4. d) ${\displaystyle {\int }_0^2(250)(9.8)(\text{π})xdx}$