Mathematics

Problem

A cylindrical container must hold

2000\text{ cm}^3

of liquid. The top and bottom disks are made from a material that costs twice as much per square centimeter as the material used for the side. If the cost per square centimeter of the side material is

k

, which radius

r

minimizes the total manufacturing cost? a)

r=\sqrt{\tfrac{1000}{\pi}}\text{ cm}

r=\bigl(\tfrac{1000}{\pi}\bigr)^{1/3}\text{ cm}

r=\bigl(\tfrac{500}{\pi}\bigr)^{1/3}\text{ cm}

r=\bigl(\tfrac{250}{\pi}\bigr)^{1/3}\text{ cm}

Browse the problem library