Question 156475: Problem- I have 50,000 gallons of water. If the water is stored in a sphere, what must the radius of the sphere be? I'm trying to figure out the steps and conversions necessary to answer this problem.
Found 2 solutions by gonzo, Earlsdon:
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! from the internet it was determined that 7.48 gallons of water equals 1 cubic foot in volume.
this translates to .13368984... cubic feet per gallon of water.
you have 50000 gallons of water so the volume would be 50000 * .13368984... = 6684.49491979... cubic feet.
to put it in a sphere you then take the formula for the volume of a sphere and works backwards to get the radius of the sphere.
formula for volume of a sphere is 4/3 * pi * r^3.
formula becomes volume = 6684.4949... cubic feet = 4/3 * pi * r^3
becomes r^3 = 6684.4949 ... / ( 4/3 * pi )
becomes r^3 = 1595.804911 cubic feet.
becomes r = cube root of 1595.804911
becomes r = 11.6858... feet.
pi is a constant with value of 3.141592654...
radius is 11.6858... feet.
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! I would first convert the 50,000 gallons to cubic inhes.
1 gallon = 231 cubic inches. So...
50,000 gallons = 50,000(231) cubic inches
50,000 gallons = 11,550,000 cubic inches.
Now if you want to store all that water in a spherical container, it will need to have a volume of 11,550,000 cubic inches, right?
The volume of a sphere is given by:
 Solve this for the radius,r.
 Substitute V = 11,550,000 and evaluate.
 Use  as an approximation.
 inches, approximately, or...
 feet, approximately.
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