Calculus - Applications of Integration - Work Pump Water Out of Hemisphere

[denisl]

If the limits of integration are from 5 to 10, then wouldn't you be pumping more than half the water out since the top half is larger than the lower half?

You're gonna get half the total depth of the water at the center, but I think the question is asking about half the total volume of water.

[erowidoz]

Why aren't the limits from 0 to 5?

[alfredmae]

this why I failed in math. the voice is so epic

[camdenjohnson]

Because density is in kg/m^3 and kg is a measurement of weight; shouldn't the force due to gravity not be added to your force equation (as it was unintentionally added during the mass step)? I'm not sure of this at all thus the question.