Find the work needed to empty a cylindrical tank with radius 3 meters and length 10 meters if it is
oriented sideways (i.e. the tanks is lying on its side) and is full of water up to 5 meters in depth
only. The pump is located 1 meter above the top of the tank.

Question

Find the work needed to empty a cylindrical tank with radius 3 meters and length 10 meters if it is
oriented sideways (i.e. the tanks is lying on its side) and is full of water up to 5 meters in depth
only. The pump is located 1 meter above the top of the tank.

anonymous · Answer

Is this a vectors question? @Agentjamesbond007

agentjamesbond007 · Answer

It's a work question. I don't think vectors are involved, but I'm quire certain integration is.

anonymous · Answer

@agentjamesbond007 Since work is the magnitude of force acting on a body which causes it to displace a certain amount, we will need a force function here. After finding force function, the work will be given by:$$\bf Work=\int\limits_{a}^{b}F(x) \ dx$$Where b - a is the displacement.