SOLUTION: a cylindrical stand pipe is to contain 350, 000 gal of water. If its height is to twice its diameter, what must be its dimensions?

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Question 970594: a cylindrical stand pipe is to contain 350, 000 gal of water. If its height is to twice its diameter, what must be its dimensions?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a cylindrical stand pipe is to contain 350, 000 gal of water. If its height is to twice its diameter, what must be its dimensions?
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h=height
d=diameter
h/d=2
h=2d
1 gal=231 cubic inches
1 cubic ft=1728 cubic inches
..
h*cross-section area=volume
2d*πd^2/4=350000*231/1728=46788 cubic ft
πd^3/2=46788
πd^3=93576
d^3=93576/π=29786
d=root%283%2C29786%29=31+ft
h=2d=62 ft
height=62 ft
diameter=31 ft