Question

For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 29 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)

I am unsure as to how to set this problem up and solve it. All answers appreciated, thank you.

Answer 1

just like all the other related-rates problems.

v = pi r^2 h = 29
h = 29/(pi r^2)

the metal used is just the surface area

a = 2*pi r^2 + 2 pi r h
= 2pi r^2 + 2pi r * 29/(pi r^2))
= 2pi r^2 + 58/r

da/dr = 4pi r - 58/r^2
...

Answer 2

jbjbj