document.write( "Question 433404: The weight of a synthetic ball varies directly with the cube of its radius. A ball with a rdius of 2 inches weighs 4.40 pounds. Find the weight of a ball with the same material with a 3 inch radius.\r
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document.write( "The weight of a ball of the same material with a 3 inch radius is____ lb.\r
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Algebra.Com's Answer #300440 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The weight of a synthetic ball varies directly with the cube of its radius. \n" ); document.write( "--- \n" ); document.write( "w = k*r^3 \n" ); document.write( "------ \n" ); document.write( "Solve for \"k\" using \"A ball with a radius of 2 inches weighs 4.40 pounds\". \n" ); document.write( "--- \n" ); document.write( "4.4 = k*2^3 \n" ); document.write( "k = 4.4/8 \n" ); document.write( "k = 0.55 \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "w = 0.55*r^3 \n" ); document.write( "=== \n" ); document.write( "Find the weight of a ball with the same material with a 3 inch radius. \n" ); document.write( "w = 0.55*3^3 \n" ); document.write( "w = 14.85 lbs \r \n" ); document.write( "\n" ); document.write( "The weight of a ball of the same material with a 3 inch radius is 14.85 lb. \n" ); document.write( "--------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " \n" ); document.write( " |