Solution Found!
Cylinder and cones (Putnam Exam 1938) Right circular cones
Chapter 7, Problem 40E(choose chapter or problem)
Right circular cones of height h and radius r are attached to each end of a right circular cylinder of height h and radius r, forming a double-pointed object. For a given surface area A, what are the dimensions r and h that maximize the volume of the object?
Questions & Answers
QUESTION:
Right circular cones of height h and radius r are attached to each end of a right circular cylinder of height h and radius r, forming a double-pointed object. For a given surface area A, what are the dimensions r and h that maximize the volume of the object?
ANSWER:Solution 40E Step 1: Consider that the right circular cones of height hand radius rare attached to each end of a right circular cylinder of height h and radius r, forming a double pointed object. Consider the following figure,