A spherical tank of water has a radius of 13 ft, with the center of the tank 50 ft above the ground.
How much work will it take to fill the tank by pumping water up from ground level? Assume the
water weighs 62.4 lb/ft3. Give your answer to the nearest ft œ lb.

Question

A spherical tank of water has a radius of 13 ft, with the center of the tank 50 ft above the ground.
How much work will it take to fill the tank by pumping water up from ground level? Assume the
water weighs 62.4 lb/ft3. Give your answer to the nearest ft œ lb.

anonymous · Answer

@amistre64

amistre64 · Answer

that worked :)

amistre64 · Answer

first thing is, we need to know the formula for work in order to do some integration with it

anonymous · Answer

w=Fd?

anonymous · Answer

or $$W=\int\limits_{b}^{a}F(x)$$

amistre64 · Answer

yeah, and the question seems a bit odd.  they are asking work to fill the tank, usually its work to empty the tank

amistre64 · Answer

the distance is going to be from groundlevel so that doesnt change

anonymous · Answer

I know I really hate this Lol. It was going so well until this problem

amistre64 · Answer

the specs of the tank just give us volume, so if im reading it right, we simply need to lift that volume of water the given height

anonymous · Answer

ok

amistre64 · Answer

so, 63 feet to move whatever the volume is.  does the way we move it change the amount of work done?  if not, then assume a cylindar pipe of radius 1 or whatever radius is simplest to work with

anonymous · Answer

ok got it