SOLUTION: A tin can of radius r and height h is produced by a company. If a new tin can i produced such that the height is twice the original height, and of the same volume, what should the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A tin can of radius r and height h is produced by a company. If a new tin can i produced such that the height is twice the original height, and of the same volume, what should the      Log On

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Question 1078272: A tin can of radius r and height h is produced by a company. If a new tin can i produced such that the height is twice the original height, and of the same volume, what should the radius be?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
old radius, r
new radius, x

h%2Api%2Ar%5E2=%282h%29pi%2Ax%5E2

-
r%5E2=2x%5E2
x%5E2=%281%2F2%29r%5E2

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x=r%2Fsqrt%282%29
or
x=r%2Asqrt%282%29%2F2
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