document.write( "Question 420807: A sphere has a volume of 32 in. If the diameter is halved, find the new volume. help..!!!
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Algebra.Com's Answer #293918 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A sphere has a volume of 32 in^3. If the diameter is halved, find the new volume. \n" ); document.write( "---- \n" ); document.write( "Vol = (4/3)pi*r^3 \n" ); document.write( "--- \n" ); document.write( "32 = (4/3)pi*r^3 \n" ); document.write( "24 = pi*r^3 \n" ); document.write( "--- \n" ); document.write( "r = (24/pi)^(1/3) \n" ); document.write( "------ \n" ); document.write( "If the diameter is halved, the radius is halved \n" ); document.write( "--- \n" ); document.write( "New radius = (1/2)(24/pi)^(1/3) \n" ); document.write( "New radius = (1/8)^(1/3)*(24/pi)^(1/3) \n" ); document.write( "New radius = (3/pi)^(1/3) \n" ); document.write( "--- \n" ); document.write( "New volume = (4/3)pi^3 \n" ); document.write( "--- \n" ); document.write( "New volume = 4 cu in. \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( " |