[Solution] The material for the cans is cut from sheets of metal. The cylindrical sides are formed by bending rectangles; these rectangles are cut from
Question: The material for the cans is cut from sheets of metal. The cylindrical sides are formed
by bending rectangles; these rectangles are cut from the sheet with little or no waste. But if the top and bottom discs are cut from squares of side 2r (as in the figure), this leaves considerable waste metal, which may be recycled but has little or no value to the can makers. If this is the case, show that the amount of metal used is minimized when
\[\frac{h}{r}=\frac{8}{\pi }\approx 2.55\]
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(Steps Shown) A more efficient packing of the discs is obtained
(See Steps) The values of h/r that we found in Problems 1 and
![[Solution Library] Plot (√[3]V)/(k) as a function](/images/solutions/MC-solution-library-57660.jpg "[Solution Library] Plot (√[3]V)/(k) as a function of x = h/r")
[Solution Library] Plot (√[3]V)/(k) as a function of x = h/r
(All Steps) Our analysis shows that large cans should be almost
Solution: Sketch the region bounded by the graphs of the algebraic
Partial Fraction Decomposition - MathCracker.com