document.write( "Question 282513: A cylindrical container has a base area of 100 M and is 12 m hight. If the container is one-third filled with water, what is the volume of the water in the container? \n" ); document.write( "
Algebra.Com's Answer #205110 by Theo(13342)![]() ![]() You can put this solution on YOUR website! volume of a cylinder = pi*r^2*h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r is the radius. \n" ); document.write( "h is the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "base area of the cylinder = pi*r^2 = 100 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "height of the cylinder = h = 12 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "volume of the cylinder = pr^2 * h = 100 * 12 = 1200 cubic meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the cylinder is 1/3 filled with water, this means that the volume of the water is 1/3 the volume of the cylinder which means that the volume of the water is 400 cubic meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another way of looking at this is that the height of the cylinder is 12 meters and it is 1/3 filled with water which means that the height of the water is 4 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 * 100 = 400 cubic meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is the same result looking at it a different way.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer is that the volume of the water is 400 cubic meters.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |