Problems are meant to be solved

Every problem has a solution, math problems are no exception.

Just like this optimization problem, it has a solution to be solved.

Problem:

A rectangular sheet of paper with perimeter 36 cm is to be rolled into a cylinder. What are the dimensions of the sheet that give the greatest volume?

Solution: (see the picture below)

Everything has a solution we just have to work hard to come up with the best and right answers.