Need some help guys!
A cylindrical water tank 12 feet high with a radius of 8 feet is buried so that the top of the tank is 3 feet below ground level. How much work is done in pumping a full tank of water up to ground level?
(weight of water is 62.4 pounds per cubic foot)
I set it up this way:
W = Integral (evaluated from 0 to 15) of (62.4)(pi)(64-y^2)(15-y)dy
I'm either incorrect in representing radius^2 as 64-y^2 which I derived from equation of an incremental disc of water having equation
x^2 + y^2 = 64 or in my limits of integration.