document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #115277 by Earlsdon(6294)\"\" \"About 
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I would first convert the 50,000 gallons to cubic inhes.
\n" ); document.write( "1 gallon = 231 cubic inches. So...
\n" ); document.write( "50,000 gallons = 50,000(231) cubic inches
\n" ); document.write( "50,000 gallons = 11,550,000 cubic inches.
\n" ); document.write( "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?
\n" ); document.write( "The volume of a sphere is given by:
\n" ); document.write( "\"V+=+%284%2F3%29%2Api%2Ar%5E3\" Solve this for the radius,r.
\n" ); document.write( "\"r+=+root%283%2C3V%2F%284%2Api%29%29\" Substitute V = 11,550,000 and evaluate.
\n" ); document.write( "\"r+=+root%283%2C3%2A%2811550000%29%2F%284%2Api%29%29\" Use \"pi+=+3.14\" as an approximation.
\n" ); document.write( "\"r+=+root%283%2C%2834650000%29%2F%2812.56%29%29\"
\n" ); document.write( "\"r+=+root%283%2C2758757.96%29\"
\n" ); document.write( "\"r+=+140.25\"inches, approximately, or...
\n" ); document.write( "\"r+=+11.69\"feet, approximately.
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