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I have posted a link there to this thread so the OP can view my work.Hemispherical dome - Calculus II question?

I have a problem that I can't figure out how to set up. I'm really bad at word problems.

1) A hemispherical dome of radius 10 meters is filled with water to a depth of 6 meters. How much work is needed to pump out water through the top of the dome until the depth is 2 meters? (Note: the dome's flat side rests on flat ground.)

An explanation would be really helpful. The set up is the part that I struggle with the most, so if anyone could provide it, that would be helpful.

Thanks!