I need help with these Calculus problem

COMPLEMENTARY COFFEE CUPS Suppose you have a choice of two co'ee cups of the type shown, one that bends outward and one inward, and you notice that they have the same height and their shapes t together snugly. You wonder which cup holds more coffee. Of course you could ll one cup with water and pour it into the other one but, being a calculus student, you decide on a more mathematical approach. Ignoring the handles. you observe that both cups are surfaces of revolution, so you can think of the coffee as a volume of revolution. CupA CupB 1 . Suppose the cups have height h, cup A is formed by rotating the curve 1 - f ( y) about the y-axis, and cup B is formed by rotating the same curve about the linex - k. Find the value of k such that the two cups hold the same amount of coffee. 2. What does your result from Problem 1 say about the areas A. and A: shown in the gure? 3. Based on your own measurements and observations, suggest a value for h and an equation for x =- f (y) and calculate the amount of coffee that each cup holds