(Solved): A conical tank contains water to a height of 2m. The tank measures 6m high and 1m in radius. ...

A conical tank contains water to a height of $$2\mathrm{m}$$. The tank measures $$6\mathrm{m}$$ high and $$1\mathrm{m}$$ in radius. Find the work needed to pump all the water to a level $$1\mathrm{m}$$ above the rim of the tank. The specific weight of water is $$9810\frac{\mathrm{N}}{{\mathrm{m}}^3}$$. Give the exact answer (reduced fraction) in function of $$?$$.