Bonus problems for Math 151

On this page I post two bonus problems that may increase your final grade score (of course, if you solve them). For each problem there is a due date. Each problem is worth 5 points. If you solve the problem by the due date, write the solution down on a separate sheet and bring it to me. We'll talk a little and if I see that you really have correct solution you get you 5 points.

DO NOT COPY THE SOLUTION FROM OTHER PEOPLE. DO THESE PROBLEMS BY YOURSELF. Since I will ask you about the problem, I will understand if you just copied the solution.

So, here are the problems:

1. A circular cone is inscribed in a sphere of radius R. Find the largest possible volume of such a cone.

This problem is due Thursday, April 5. We can discuss your solution before or after lectures, during my regular office hours, and also on Monday, April 2, at 2-5 PM.

Remember, if you solve the problem, do not tell anyone the solution!!!

2. Find the area of skin of the grey animal in the figure below:

This problem is due Thursday, April 26. We can discuss your solution before or after lectures and during my regular office hours