A cone with radius 6 and height 8 is sitting on a table. A spotlight with a cylindrical beam of radius 3 is shining directly at the cone. The beam is parallel to the surface of the table and the bottom of the beam just touches the table. The cone just barely blocks the entire light beam.

What is the illuminated area?

(In reply to Some analytic progress by Brian Smith)

You made the same error as me.  You need to scale your answer by 5/4 to account for the cone being sloped.

Posted by Jer on 2021-11-14 10:39:09