A cylindrical testtube of radius r and height h contains a s

A cylindrical test-tube of radius r, and height h, contains a solution of glucose which has been prepared so that the concentration of active yeast is greatest at the bottom and decreases gradually towards the top of the tube. (This is called a density gradient). Suppose that the concentration c is a function of the depth x is ( ) grams of active dry yeast per centimeter3. (x = 0 at the top of the tube, and x = h at the bottom of the tube.) In the figure we show a schematic version of what this gradient might look like. Determine the total amount of active dry yeast in the tube (in grams). Neglect the