Ex: Determine the Work Required to Pump Water Out of a Circular Cylinder

This video provides an example of how to determine how much work is required to pump water over the top of a pool that is a right circular cylinder.
Site: mathispower4u.com

[@lundymaphone]

This is really good man, I especially liked how you actually explained (in plain language) the logic behind what different parts of the function were "doing".

[@BlackringIII]

great explanation, but the problem is worded in such a way that determining the bounds is difficult.

[@liangpingshen9910]

So, if W=∫F(x)dx, a to b, why the video actually shows that W=∫F(x)*d(x) dx, a to b, where d(x) is the distance?

[@mathrovert]

W=∫F(x)dx is the general way to express work in integral notation. Here we have two variables changing... the volume of the water and distance the water needs to travel. Instead of a double integral both can be expressed as "x" here as a single integral.

[@pranavsheth2406]

Sir actually we want to use this in a college project so can you allow us this ppt or Word file..please

[@josephshaff5194]

Very nice.