# Visualize This...

• Sep 15th 2011, 05:04 PM
joatmon
Visualize This...
The base of S is a circular disk with a radius r. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.

Does somebody have some good graphing software who can help me visualize this thing? In my mind, circular disk is also called a cylinder, and you can get a square from a cross section depending on where you cut it, but only if you cut it in exactly the right place. Clearly I am missing something.

Thanks.
• Sep 15th 2011, 05:13 PM
skeeter
Re: Visualize This...
closest I could find ...

link to a Quicktime animation of square cross sections with an elliptical base ...

http://www.mathwords.com/assets/movi...onsExample.mov
• Sep 15th 2011, 05:32 PM
joatmon
Re: Visualize This...
Thanks for that. I need to watch that one a few times.
• Sep 16th 2011, 04:13 AM
HallsofIvy
Re: Visualize This...
Quote:

Originally Posted by joatmon
The base of S is a circular disk with a radius r. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.

Does somebody have some good graphing software who can help me visualize this thing? In my mind, circular disk is also called a cylinder

No, a "circular disk" is NOT called a cylinder. A cylinder is a three dimensional object while a "circular disk" is a two dimensional object- a circle and its interior.

Quote:

, and you can get a square from a cross section depending on where you cut it, but only if you cut it in exactly the right place. Clearly I am missing something.
Yes, because of your mistaken idea that we are talking about a cylinder. Imagine a circle with square erected on top of it.

Quote:

Thanks.

And here is the next problem...

The base of S is a circular disk with a radius r. Parallel cross sections perpendicular to the base are isosceles triangles with height h and unequal side in the base. Find the volume of the solid. Somebody shoot me.
• Sep 16th 2011, 06:16 AM
curvature
Re: Visualize This...