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Average Member

13 Posts

Posted - 09/20/2007 :  19:19:03  Show Profile
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?
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Advanced Member

5634 Posts

Posted - 09/20/2007 :  20:44:22  Show Profile
old volume ... V = rh

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.
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Average Member

19 Posts

Posted - 10/13/2007 :  22:06:43  Show Profile

There is a typo. Your (1 - D/d) should be (1 - d/D).
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