# AP Calculus Optimization Problem

You have been asked to design a 1 liter can in the shape of a right circular cylinder. What dimensions use the least amount of material for the can? (minimize surface area)

Posted by Will Lynch a year ago

## Related Problems

An open box is made by cutting and folding a 10x10 inch square of cardboard as shown below. Find the maximum volume the open box can attain by altering the length of cuts, x.

Maximize the product of two numbers, x and y, given that the first number squared added to the second number is equal to 27.

A dudebro has 500 feet of fencing to make a pig pen along a barn as shown below. Find the maximum area.

Find two non-negative numbers, x and y, whose sum is 9 with a maximum product of x and the square of y, $p(x,y) = xy^2$