- #1

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Here is my task:

Calculate surface area of sphere $$x^{2}+y^{2}+z^{2}=16$$ between $$z=2$$ and $$z=-2\sqrt{3}$$.

Here are 3D graphs of our surfaces:

Surface area of interest is P3. It would be P-(P1+P2), where P is surface area of whole sphere. Is it correct?

Here is how I calculated P1:

Similarly for P2:

We calculate P using formula 4pi*r*r.

Is it correct?