Question

A can in the shape of a cylinder is to have a combined height and circumference of no more than 108 inches to limit shipping costs. Find the dimensions of the can with maximum volum

Answer 1

is 108 inches an initial volume..?

Answer 2

maximum volume rather..

Answer 3

thats what i think, like its 108 dv/dt=3/4pi(r)^3dr/dt, is that right

Answer 4

u got the wrong formula for the volume of the culinder.. its pi r^2h only..

Answer 5

oh i was thinking sphere

Answer 6

so then it would be 108dv/dt=pi(r)^2(h)dr/dt ?

Answer 7

wait im checking my notes about that problem...

Answer 8

ok

Answer 9

I would just maximize it by looking at the critical points on the derivative, I think.

Answer 10

its a cylinder, not a graph, and the only thing that looks like a derivative is r^2

Answer 11

?

Answer 12

hello

Answer 13

i think 108 is just a perimeter of the cylinder..

Answer 14

i mean that is on the problem i think now it might be optimization

Answer 15

sorry, ok so max volume, if you take the function for volume and take the derivative then find the critical points and determine where the max would be I think it would work

Answer 16

can you so step by step really confused with this one

Answer 17

Sorry I need sleep but this should help http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/haris1.html