A tank in the shape of an inverted right circular cone has height 7 meters and radius 7 meters. It is filled to a depth of 6 meters with hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
I got 5898816pi but that doesn't seem to be right

Question

A tank in the shape of an inverted right circular cone has height 7 meters and radius 7 meters. It is filled to a depth of 6 meters with hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
I got 5898816pi but that doesn't seem to be right

dan815 · Answer

can u draw a picture

anonymous · Answer

|dw:1394251007120:dw|
Something like this I'm assuming?

dan815 · Answer

ok and u want to pump it out from the top

dan815 · Answer

to move the liquid upto the top just before it spills is
just f*height, where height =1 since u go from 6 to 7, just before spilling and the force = all the weight * gravity

dan815 · Answer

this is your initial work

dan815 · Answer

now the following work depends on the volume of liquid that is left over in the tank

dan815 · Answer

volume is changing as a function of height, write an equation for that

dan815 · Answer

so then u gotta write an integral force dh,

anonymous · Answer

Integral force?

dan815 · Answer

they have to give you some additional information like, density of the hot chocolate

dan815 · Answer

how are you going to know the mass to find force

anonymous · Answer

It says that the density of hot chocolate is 1520 kg/m3, and you should use 9.8 m/s2 for the acceleration due to gravity

anonymous · Answer

The neat thing is that this continues to have a conical shape all the way down. Unfortunately, the pressure at the bottom keeps changing as the surface level drops., making the last to be pumped much more difficult than the first, and it has to go farther to get over the top.