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) (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
h=2d=62 ft
height=62 ft
diameter=31 ft