A Box of Cones
I am fixed to a seat and can see cones as 2-d figures.All different cones are there with a different angle of repose as well as the base angles also differ in different cones.For e.g:- 150,15,15 and 150,20,10 are different cones. If I randomly choose one cone from the box, what is the probability it is a right angle cone for the radius is 21cm of each cone and height varies, but only one right angle cone is there.
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1 solution
The idea is to think that rotation is allowed and the figure forms a hemisphere, and volume of the hemisphere is 2/3 pi r^3=2/3 22/7 9261=19404. So, the answer is 1/19404. I am an eighth grader, so its okay if you correct me somewhere if you feel so.