Question $4(25$ points$)$

A floating piece of ice, with uniform thicknes, sinks $h$ with the weight $(W)$ of a polar bear in the

center of the ice. For the sea water, where the ice is floating, the specific gravity is $SG.$

a$)$ Derive the equation to compute the area $(A)$ of the ice in the plane of the water level $(15$ points$)$

b$)$ What is the magnitude of the area $(A)$ if $h=1$ inche, $W=5G0lb$ and $SG=1\mathrm{.}03.(10$ points$)$