Solve the following using line Integrals:
1) A 160-lb man carries a 25-lb can of paint up a helical staircase that encircles a silo with a radius of 20ft. If the silo is 90ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top?
2) If there is a hole in the can of paint in the above problem and 9-lb of paint is leaking steadily out of the can during the man's accent how much work is being done?
I know this can be done using physics but it has to be done using Line Integrals.