- #1

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x^2 + y^2 + z^2 ≤ 16, 2 ≤ y ≤ 4;

I forgot the rules of inequalitites, I see its an equation of a sphere and the plane is going to be parallel to the xz-plane but i'm lost after that. Any help would be great! thanks!

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- Thread starter mr_coffee
- Start date

- #1

- 1,629

- 1

x^2 + y^2 + z^2 ≤ 16, 2 ≤ y ≤ 4;

I forgot the rules of inequalitites, I see its an equation of a sphere and the plane is going to be parallel to the xz-plane but i'm lost after that. Any help would be great! thanks!

- #2

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If you are supposed to find the volume:

The answer is 40pi/3

If you are supposed to find the curved surface area,it is:16pi

If you are supposed to find the total surface area,it is 28pi

- #3

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They intersect and make a funny lookin shape, kinda like if you hsaved the head off of a tennis ball.

- #4

Fermat

Homework Helper

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In fact, it's only the top quarter of the tennis ball that is left.From y = 2 to y = 4.

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