SOLUTION: a cylindrical standpipe is contain 343000 gal. of water. If its height is to be twice it diameter, what must be its dimension?

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Question 713064: a cylindrical standpipe is contain 343000 gal. of water. If its height is to be twice it diameter, what must be its dimension?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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cylindrical standpipe is contain 343000 gal. of water. If its height is to be twice it diameter, what must be its dimension?
:
the vol of a cylinder: V+=+pi%2Ar%5E2%2Ah
h = twice the diameter which is 4 times the radius
therefore
pi%2Ar%5E2%2A4r = 342000
divide both sides by 4pi, resulting in
r%5E3 = 27295
find the cube root
r = 30.11
:
Diameter = 60.22
height: = 120.44
:
Check
pi%2A30.11%5E2%2A120.44 = 343038 ~ 343000