Problem 3: [40 pts] Avery wants to design a tank to produce the world's largest donut. They do so by taking the circle o' by =9 and revolving it about the line z - 5. A. [10 pts] Use the Shell Method to set up an integral that, if evaluated, would give the volume of donut batter needed to fill the tank. B. [10 pis] Use the Washer Method to set up an integral that, if evaluated, would give the volume of donut batter needed to fill the bank. C. [10 pis] Explain whether the integrals you found in the previous parts should be equal or not. Then, use uchnology to evaluate each integral and state the melts. Make sure to state what you used to perform the evaluations.( Problem 3, continued) B. [10 pts] Unfortunately, Avery only has enough batter to fill the tank to y - 1 with donut batter, In order to avoid it from spoiling until they obtain more, Avery decides to pump the batter out of the tank so it can be stored. Set up, but do not evaluate, an integral or sum of integrals that gives the work required to pump all of the donut batter to the top of the tank. According to Google, the density of the donut baller is 526.9 kg/m"; and you may use g = 9.8 m/s