By the way I dug up some old notes and got the method was confused by the pi, this question is now solved. Have to remember that you treat pi as a variable sometimes and as a number others.
Homework Statement
A cylindrical can is to hold 500 cm^3 of apple juice the design must take into account that the height must be between 6 and 15 cm, inclusive. How should the can be constructed so that a minimum amount of material will be used in the construction? assume no waste...
Sorry I forgot to say that I finally got that question finished and it seems to be correct, I had been struggling with it for the last few days and my teacher wasn't able to explain it in a way that helped. Thanks to Gib Z it clicked and I figured it out as far as boxes go, but when I see...
A cylindrical can is to hold 500 cm^3 of apple juice the design must take into account that the height must be between 6 and 15 cm, inclusive. How should the can be constructed so that a minimum amount of material will be used in the construction? assume no waste.
V is volume and SA is...
wow.. Thanks that make sense I think, been a couple months since we did this in class.
Thanks
~RS
So then x=27.144 cm and y=6.786 cm.
Don't I also sub 5 from x>5 into the equation to tie up loose ends and make sure that it really is 27 cm? oops wrong equation y=13 and change.
Optimization, Minima, new question:Sheet Alluminum
Homework Statement
A box with a square base and no top must haave a volume of 10000 cm^3. If the smallest dimension in any direction is 5 cm, then determine the dimensions of the box that minimize the amount of material used.
Homework...