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Start with a refrigerated cylindrical container with an open top an unrefrigerated bottom. The dimensions of this cylindrical container are left for you to decide:

Start with a refrigerated cylindrical container with an open top an unrefrigerated bottom. The dimensions of this cylindrical container are left for you to decide: you may pick specific numerical values describing its radius and height or you may work with the unspecified constants r and h. You will pour water which will turn to ice in concentric cylindrical shells. Water when turned to ice occupies 8% more volume than in liquid form. Thtat means that when the water you poured into the container turns to ice, the surface of the ice will not be flat as the surface of the water originally was. Your job is to give a description of the surface of the ice. You could simplify this by describing with the appropriate mathematical function/equations the curve traced by the surface on a cross section along the axis of rotation of the cylinder. Please use washer method or shell method.

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