Hint for HW_03.20

In order to solve this problem, you need to:

· calculate the volume of ice in the cap

· convert that volume into the volume of water that forms when the cap melts

· calculate the volume of water on a spherical surface of depth d

Shown below is an idealized model of the Antarctic ice cap … an inverted cone sitting on top of a cylinder. The dimensions are indicated in the figure.

· The volume of the cylinder is … where A is the area of the Base and t is the thickness of the cylinder

· The volume of the cone is … or 1/3 the base times the height

· Remember … the volume of water that forms when the cap melts is only 0.92 times the volume of the cap (why?)

· The volume of water in a thin spherical shell of “depth” d is (see figure) …

· Remember … water covers only about 0.7 of the Earth’s spherical surface

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d