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How much water there is in a lake which is circular about 1km across and average depth of 10m?
Since an average depth is given, the lake can be considered as a cylinder of water that is 1000 m across and 10 m deep. The formula for finding the volume of a cylinder is:
V = pi ^ r2 ^ h
pi = 3.14159,
r2 = (500m)2 = 250,000 m2
h = 10m
V = 3.14159 ^ 250,000 m2 ^ 10m
V = 7,853,980 m3.
The volume of the water in the lake is 7,853,980 m3, or 7.85398 km3.
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