What is the radius of the waters surface

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Reference no: EM131005203

A draining hemispherical reservoir: Water is flowing at the rate of 6 m³/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 = (π/3)y²(3R - y) when the water is y meters deep.

1207_A draining hemispherical reservoir.jpg

a. 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?

Reference no: EM131005203

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