Problem 5. An upright cylindrical tank 10 feet tall with a radius of 4 feet pumps a mystery liquid out of a spout 6 feet above the top of the tank. The tank is half full. It takes 5407f foot-pounds to pump all the liquid out of the tank. How many pounds does the liquid weigh per cubic foot? Problem 6. Use a trigonometric substitution to write the following integral completely in terms of 6 and draw a picture that represents 6. You are not required to compute the integral, but please simplify all fractions. /4/3 81:33 d :1: 4\//9 V 9:132 + 16