Here is the problem, that I do not really understand.: A Company is decreasing by 10 % the amount of tuna sold in cylindrical cans. The cans will have the same height but a smaller diameter to minimize the impact on consumer when they see the smaller can. By what % should the diameter be decreased to accomodate the change?
new volume ... .9V = (kr)h where k is a reduction factor for the radius.
divide new volume by old volume ...
.9V = (kr)h ----------------- V = rh
.9 = k
k = (.9) = approx .95
the new radius will be 95% of the length of the old radius, a 5% reduction ... so, the diameter will also decrease by 5% since diameter length varies directly with the radius length.
Interactive Math Goodies Software
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Posted - 09/20/2007 : 19:19:03
r
h
(.9) = approx .95
