I worked out these two problems and got an answer but was not sure about the answer... If you could just check it and if it is not write tell me what I did wrong or give me a step by step, it would be greatly appreciated. 1. A tank is formed by revolving y = 3x^2, x = [0,2] around the y axis is filled to the 4 feet point with water (w = 62.4 lb/ft^3). Find the work necessary to pump the water out of the tank over the top. I got the integral being from a = 0 and b = 4 and integrating [12y^(1/2) - y^(3/2)]dy with w and pi as constants outside of the integral. Would this be correct? 2. A plate shaped as in the figure [question 2.jpg is attached] is submerged vertically in a fluid as indicted. Find the fluid force on the plate if the fluid has weight density 62.4 lb/ft^3 The integral I set up was the limits being -5 to -1 and the integral being (5-y)(-7/4y - 7/4) dy. Which is integrated out with the limits it comes out to be 665/6, and I was wondering if it was correct or not [the way I did it] Thank you. Can someone please step by step show me how to solve this if I am not correct. Please help! I greatly appreciate it!