document.write( "Question 992289: A water tank measures 200cm by 150cm by 100cm. Calculate the capacity of the tank.\r
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document.write( "Intially there's water in the tank to a depth of 30cm. Calculate the initial volume of water in the tank. \r
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document.write( "A tap connected to the tank delivers water into the tank at a rate of 150cm^3 per min. Write down the formula for the volume of water in the tank after t minutes, In terms of initial volume and t. \n" );
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Algebra.Com's Answer #611927 by Theo(13342)![]() ![]() You can put this solution on YOUR website! A water tank measures 200cm by 150cm by 100cm. Calculate the capacity of the tank. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "capacity of the tank is 200 * 150 * 100 = 3,000,000 cubic cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Intially there's water in the tank to a depth of 30cm. Calculate the initial volume of water in the tank. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you assume the formula for volume is length * width * height, then the height of the tank is 100 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the tank is filled with water to a depth of 30 cm, then the volume of water in the tank is 200 * 150 * 30 = 900,000 cubic cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A tap connected to the tank delivers water into the tank at a rate of 150cm^3 per min. Write down the formula for the volume of water in the tank after t minutes, In terms of initial volume and t.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "initial volume in the tank is 900,000 cubic cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tap fills the tank at a rate of 150 cubic cm per minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula would y = 900,000 + 150 * t.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t represents the number of minutes. \n" ); document.write( "y represents the volume of water in the tank after t minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "EXTRA\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "how long would it take to fill the tank?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "set y = 3,000,000 and the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3,000,000 = 900,000 + 150 * t. \n" ); document.write( "subtract 900,000 from both sides of the equation to get: \n" ); document.write( "2,100,000 = 150 * t. \n" ); document.write( "divide both sides of the equation by 150 and solve for t to get: \n" ); document.write( " t = 2,100,000 / 150 which get you: \n" ); document.write( "t = 14000 minutes. \n" ); document.write( " \n" ); document.write( " |