A cuboid measures 10×15×30. Find the volume and the area of the surface of revolution of the cuboid about its space diagonal.
When this was in the queue I mentioned having solved a similar but simpler version on another website.
It was simpler because it only involved a unit cube. I can no longer find the problem on the site Brilliant.org with my solution. I did find the Desmos animation I made to help me visualize the shape:
https://www.desmos.com/calculator/le35uymui5
The tricky bit is the red hyperboloid.
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Posted by Jer
on 2020-08-28 16:14:08 |
Hint?
