2. Water is flowing at the rate of 6 m/min from a reservoir shaped like a
hemispherical bowl of radius 13 m, shown here in profile. Answer the
following questions, given that the volume of water in a hemispherical bowl
of radius R is V = (1/3)y(3R - y) when the water is y meters deep.
Center of sphere
13
Water level
At what rate is the water level changing when the water is 8 m deep?
b. What is the radius r of the water's surface when the water is y m deep?
c. At what rate is the radius r changing when the water is 8 m deep?
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Answer:
c?
c. At what rate is the radius r changing when the water is 8 m deep?
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