document.write( "Question 280950: a circular oak table top is 4 ft. in diameter and 3/4 in. thick.How heavy is it if oak weighs 47 lb. per cu. ft.? \n" ); document.write( "
Algebra.Com's Answer #204121 by Theo(13342)![]() ![]() You can put this solution on YOUR website! The oak table is 4 feet in diameter. \n" ); document.write( "This means that the radius is 2 feet. \n" ); document.write( "The oak table is 3/4 inches thick. \n" ); document.write( "3/4 inches thick is equivalent to (3/4)/12 feet thick which equals .0625 feet thick. \n" ); document.write( "The volume of the oak table is given by the formula\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V = pi*r^2*h where:\r \n" ); document.write( "\n" ); document.write( "pi = the constant of 3.14..... (it's in the calculator) \n" ); document.write( "r = 2 feet \n" ); document.write( "h = the thickness of the oak table = .0625 feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The volume of the oak table is therefore\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V = pi*2^2*.0625 = pi*4*.0625 = pi*.25 = .785398163 cubic feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the oak table weighs 47 pounds per cubic feet, then the table top weighs 47 * .785398163 = 36.91371368 pounds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |