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Mathematics
Problem
Water enters an empty upright right circular cone at a constant rate of
2
m
3
/
min
2\,\text{m}^3/\text{min}
2
m
3
/
min
. The cone is
10
m
10\,\text{m}
10
m
tall with a base radius of
5
m
5\,\text{m}
5
m
. How fast is the water level
h
h
h
rising, in
m
/
min
\text{m}/\text{min}
m
/
min
, at the instant when the water is
6
m
6\,\text{m}
6
m
deep?
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