1. Suppose f(y) = -1/36y^2 + 1/3y + 11 models the common side of the cups and bo

Question

1. Suppose f(y) = -1/36y^2 + 1/3y + 11 models the common side of the cups and both cups have height, h = 12cm. Find the Volume of Cup A rounded to nearest whole mL,

2. Find the volume of Cup B if it is formed by rotating the same curve around the line x = 18. Again round to the nearest whole mL

3a. Find the value of k such that the two cups hold the same amount of coffee.

3b. Will cup B ever have a greater Volume that cup A? if so, for what values of k?

4. Find the length of hte arc represented by the common side of the cup.

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