document.write( "Question 879159: I have a round beverage dispense that measures 12\" tall and 23\" around. How much liquid would this hold?
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Algebra.Com's Answer #530539 by Theo(13342) You can put this solution on YOUR website! The formula for the volume of a cylinder is V = pi * r^2 * h, where: \n" ); document.write( "V is the volume \n" ); document.write( "r is the radius of the base \n" ); document.write( "h is the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You know the circumference of the base. \n" ); document.write( "From that, you can derive the radius as follows: \n" ); document.write( "C = 2 * pi * r, where: \n" ); document.write( "C = circumference \n" ); document.write( "r = radius \n" ); document.write( "Replace C in this formula with 23 inches and you get: \n" ); document.write( "23 = 2 * pi * r \n" ); document.write( "Divide both sides of this equation by 2*pi and you get: \n" ); document.write( "23 / (2*pi) = r \n" ); document.write( "Solve for r to get: \n" ); document.write( "r = 3.660563691. \n" ); document.write( "That's your radius.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now go back to your volume formula of V = pi*r^2*h \n" ); document.write( "You have: \n" ); document.write( "r = 3.660563691 and you have h = 12 \n" ); document.write( "You can replace these values in the formula to get: \n" ); document.write( "V = pi * (3.660563691)^2 * 12. \n" ); document.write( "This gets you: \n" ); document.write( "V = 505.1577894 cubic inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can translate this to quarts or pints or cups by using the translation formulas that are available.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "505.1577894 cubic inches is equal to: \n" ); document.write( "2.1868302571429 gallons \n" ); document.write( "8.7473210285714 quarts \n" ); document.write( "17.494642057143 pints \n" ); document.write( "34.989284114286 cups \n" ); document.write( "279.91427291429 ounces\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You would obviously want to round this off to the nearest unit to get a rough measure.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those rough measures would be: \n" ); document.write( "approximately 2 gallons \n" ); document.write( "approximately 9 quarts \n" ); document.write( "approximately 17 pints \n" ); document.write( "approximately 35 cups \n" ); document.write( "approximately 280 ounces\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The conversion calculator I used can be found here: \n" ); document.write( "https://www.google.com/search?q=cubic+inches+to+quarts&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a&channel=fflb\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I just went to google and did a search on \"cubic inches to quarts\" and it popped up. \n" ); document.write( " |