02 - Cylinder of maximum convex area inscribed in a sphere
Problem 02
A cylinder is inscribed in a given sphere. Find the shape of the cylinder if its convex surface area is a maximum.
Maxima and Minima Using Trigonometric Functions
Many problems in application of maxima and minima may be solved easily by making use of trigonometric functions. The basic idea is the same; identify the constant terms and identify the variable to be maximized or minimized, differentiate that variable then equate to zero.