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**[SOLVED]A couple of sphere problems**

Hi again, I've been studying for my midterms, and in the review exercises I came across a couple questions that have me stumped... How would you guys approach these problems.

Ex1: The larger sphere is radius of 4, with the middle point of a second sphere on the skin and to calculate the volume of the larger sphere that would be missing.

I just wasn't sure where to start on a problem like this, so some pointers on how to approach this would be appreciated...

Next, a spherical pool with a radius of 20 meters was filled to where the deepest point was 15 meters deep calculate the volume...

This one I had a better idea, but wasn't quite sure... I used some trig to start figuring out the volume of the empty space, and then took half the volume of the sphere and took the difference... except I think the intention was to use the volume equation with integration... so, I was just curious how I would figure out an integral to make this calculation??

Once again these are problems that I feel like I should have a handle on, but these got me stumped, just that since there's been multiple similar questions in the review for the midterm suggests that I should be prepared for a similar problem.

Thanks in advance for any help.

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