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 soln by Steven Lord)

I'm not certain what the solution assumes, but in problems like this it's necessary to make sure that the random distribution space is a uniform distribution over all the area, and not differ regarding distance from the z-axis.

Posted by Charlie on 2021-11-12 10:34:14