(Solved): A circular swimming pool has a diameter of 16m. The circular side of the pool is 3m high, and t ...

A circular swimming pool has a diameter of $16\mathrm{m}$. The circular side of the pool is $3\mathrm{m}$ high, and the depth of the water is $1.5\mathrm{m}$. (The acceleration due to gravity is $9.8\mathrm{m}/{\mathrm{s}}^2$ and the density of water is $1000\mathrm{kg}/{\mathrm{m}}^3$.) How much work (in Joules) is required to: (a) pump all of the water over the side? (b) pump all of the water out of an outlet $3\mathrm{m}$ over the side?