Question

A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 for π. If you enter your answer in scientific notation, round the decimal value to two decimal places. Use equivalent rounding if you do not enter your answer in scientific notation.) r=6.6, h=3.3

Answer 1

To answer the question above, we will have to use some calculus approach to this problem.


volume of sphere = (4/3)(pi)(radius^3) = (4/3)(pi)(9^3) = 972pi
mass = (density)(volume) = (972pi)(1,000) = 972,000pi
force = (mass)(acceleration or gravity here) = (972,000pi)(9.8) = 9,525,600pi
work = (force)(distance) = (9,525,600pi)(4.5) = 42,865,200pi J

I hope my answer helped you with your problem