Mathematics Problems - Assignment Solution

Question # 1

Part (A)

The problem is shown in figure. The curve A is the inner layer of the vase. Curve B is the outer layer.

In between A and , we have solid glass material.

(i) For maximum value of water, we see that it is actually  the volume of a paraboloid shaped by curve A (inside / inner) paraboloid. So, it has (r = 3, h = 13 - 3 = 10).