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**Homework Statement**

Find the work required to empty a tank in the shape of a hemisphere of radius [tex]R[/tex] meters through an outlet at the top of the tank. The density of water is [tex]p kg/m^{3}[/tex]; the acceleration of a free falling body is [tex]g[/tex]. (Ignore the length of the outlet at the top.)

**The attempt at a solution**

[tex]w = \int_a^b (density)(gravity)(Area-of-slice)(distance)dx

[/tex]

[tex]w = \int_0^R (p)(g)(\pi)(R^{2})(R - x)dx

[/tex]

Is this correct/complete?