7. The volume of ice is given by the product of the semicircular surface area and the
thickness. The are of the semicircle is
A
=
π
r
2
/2, where
r
is the radius. Therefore, the
volume is
2
2
Vr
z
π
=
where
z
is the ice thickness. Since there are 10
3
m in 1 km and 10
2
cm in 1 m, we have
()
32
5
10 m
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 Spring '08
 shylnov
 Physics, Orders of magnitude, semicircular surface area

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