Question

Find the amount of work needed to pump the water out of the pool.

Answer 1

A circular swimming pool has a diameter of 18 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3. Note that we are using weight-density.)

Answer 2

\[\int\limits_{0}^{2.5}(9.8*1000)(\pi*81*dh)(3-h)\]9.8