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I Have tried a lot of different ways but for some reason my program isn't registering the information that I am putting in. I am doing this for my Calculus III class.

When I put in the information for the given shapes they are not coming out as expected.

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    $\begingroup$ what program are you using? $\endgroup$ – Saketh Malyala Apr 27 at 23:00
  • $\begingroup$ My apologize i am using, graphing calculator 3d, well was using it untill my free version apparently expired. hopefully i will be able to use it again soon $\endgroup$ – zeldasfury Apr 28 at 4:10
  • $\begingroup$ which app though $\endgroup$ – Saketh Malyala Apr 28 at 4:11
  • $\begingroup$ If your free version is expired, what alternatives are you using right now? Besides, there's a chance that you'll never be able to use it again for various reasons. $\endgroup$ – Lee David Chung Lin Apr 28 at 8:03
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Here are the steps to plot cylinder within sphere in Graphing Calculator 3D:

  1. Type the sphere equation. For example: x^2+y^2+z^2=3^2
  2. Type the cylinder equation. For example: x^2+y^2=2^2
  3. Calculate the height of the cylinder needed to ensure the cylinder does not stick out of the sphere. The height is generally calculated by this formula: R^2=r^2+(h/2)^2
  4. Solve the above for h. Once you know the value of h, change the default z range of cylinder from (-Infinity, +Infinity) to (-h/2, +h/2). In this example the range would be (-2.23, +2.23)

Here is the result after making the sphere transparent:

enter image description here

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