Water is flowing at the rate of
50 m3min from a concrete conical reservoir (vertex down) of
base radius 45 m and height 6 m. (a) How fast is the water level
falling when the water is 5 m deep? (b) How fast is the radius of
the water’s surface changing at that moment? Give your answer
in cmmin.
1
Expert's answer
2011-12-08T10:35:57-0500
Water is flowing at the rate of 50 m^3/min from a concrete conical reservoir (vertex down) of base radius 45 m and height 6 m.
Let's make following denotations: R = 45 m H = 6 m F = -50 m^3/min. tgα = (45/2)/6 = 3.75.
(a) How fast is the water level falling when the water is 5 m deep?
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