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
...
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.
2 answers
jbjbj