SOLUTION: You are looking for a tank to hold 5000 gallons. You have decided to place the tank inside an exisiting building , but the space in the building only allows for a maximum diameter

Algebra ->  Bodies-in-space -> SOLUTION: You are looking for a tank to hold 5000 gallons. You have decided to place the tank inside an exisiting building , but the space in the building only allows for a maximum diameter      Log On


   



Question 79529: You are looking for a tank to hold 5000 gallons. You have decided to place the tank inside an exisiting building , but the space in the building only allows for a maximum diameter of 12 foot. How tall will the tank need to be ????
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You are looking for a tank to hold 5000 gallons. You have decided to place the tank inside an exisiting building , but the space in the building only allows for a maximum diameter of 12 foot. How tall will the tank need to be ????
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With a 12 ft diameter base the area of a circular base will be (pi)12^2 sq ft.
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Formula of Volume of a cylinder with circular base = (pi)r^2h
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You want the Volume to be 5000 cu ft.
EQUATIOn:
5000 = (Pi)12^2h
h=5000/[144pi]
h=109.08 ht
The tank will need to be 109.08 ft high.
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Cheers,
Stan H.