![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Consider the two cases :
\Work done by the pump inorder to empty the half of the tank is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8b15714291826861f7fc270afabe2ad0.png\")
.
Work done by the pump inorder to empty the full tank is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=775cd3eb610dac8e764ba45aff0170a7.png\")
.
As the tank loses water the volume constantly changes due to ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=486b3c449555a49e768bed93b6cc9dd4.png\")
, this in turn results in more energy being need to pump the whole tank rather than just half.
The bottom half has to be pumped a greater distance than the top half.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
As the tank loses water the volume constantly changes due to ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=486b3c449555a49e768bed93b6cc9dd4.png\")
, this in turn results in more energy being need to pump the whole tank rather than just half.
The bottom half has to be pumped a greater distance than the top half.