document.write( "Question 1002222: the external dimensions of a closed cylindrical water tank made of concrete materials consist of its radius which is 3 meters and height which is 8 meters if the thickness of the concrete wall is 1decimeter, what is the volume of the concrete walls to the nearest m3 \n" ); document.write( "
Algebra.Com's Answer #619269 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the volume of a cylindrical prism is v = pi * r^2 * h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v is the volume \n" ); document.write( "pi is the constant of 3.14..... \n" ); document.write( "r is the radius \n" ); document.write( "h is the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given the external dimensions of the cylinder as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 3 meters \n" ); document.write( "height = 8 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are also given that the thickness of the concrete walls is 1 decimeter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need to convert decimeters to meters or meters to decimeters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from the conversion charts, you get 1 decimeter = 1/10 of a meter = .1 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you also get 1 meter = 10 decimeters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we'll convert everything to meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your outer dimensions are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 8 meters \n" ); document.write( "r = 3 meters. \n" ); document.write( "thickness of the wall is 1 decimeter = .1 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your inner dimensions are: \n" ); document.write( "h = 8 meters (no change here) \n" ); document.write( "r = 2.9 meters (subtract .1 meter from 3 meters to get 2.9 meters)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of the external dimensions of the tank is equal to pi * 3^2 * 8 which is equal to 72 * pi cubic meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of the internal dimensions of the tank is equal to pi * (2.9)^2 * 8 which is equal to 67.28 * pi cubic meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of the concrete wall is there the difference which is 72 * pi minus 67.28 * pi = 4.72 * pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of the concrete walls, rounded to the nearest cubic meters, is equal to 5. \n" ); document.write( " |