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A circular swimming pool has a diameter of $12$ m $.$ The circular side of the pool is $3$ m high, and the depth of the water is $1\mathrm{.}5$ m $.($The acceleration due to gravity is $\backslash (9\mathrm{.}8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ and the density of water is $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).)$ 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 $2$ m over the side?