A conical$$ container, oriented such that its vertex is at the$$ bottom, has radius

$9$ ft$9$ft

and height

$3636$

ft$.$ It is filled to a height of

$3232$

ft of a liquid weighing

$50\mathrm{.}650\mathrm{.}6$

lb divided by ft cubedlb$/$ft$3.$

How much work will it take to pump the contents to the$$ rim? How much work will it take to pump the liquid to a level of

$44$

ft above the$$ cone's rim?