document.write( "Question 703530: A jar in the shape of a 9-inch tall cylinder with a circular base of diameter 6 inches is completely filled with gumballs of diameter 3/4 inches. Estimate the number of gum balls in the jar, explain your reasoning. \n" ); document.write( "
Algebra.Com's Answer #433536 by stanbon(75887) ![]() You can put this solution on YOUR website! A jar in the shape of a 9-inch tall cylinder with a circular base of diameter 6 inches is completely filled with gumballs of diameter 3/4 inches. Estimate the number of gum balls in the jar, explain your reasoning. \n" ); document.write( "----------------- \n" ); document.write( "Volume of the cylinder = area of base * height \n" ); document.write( "-- \n" ); document.write( "Area of the base = (pi)3^2 = 9(pi) sq inches \n" ); document.write( "Volume of the cylinder = 9(pi)*9 = 81(pi) cu in \n" ); document.write( "---- \n" ); document.write( "Volume of each gumball = (4/3)pir^3 = (4/3)(pi)(3/8)^3 = 0.0703(pi) cu in \n" ); document.write( "===== \n" ); document.write( "# of balls = vol of shere / vol of gumball = (81pi)/(0.0703pi) = 1152 \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " |