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The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a rate of kA m³/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area r²h. Calculate the rate that which the water level changes at h = 0.12 m, is A = √√² + r² and the volume is V = assuming that k = 0.23 m/min. 0.45 m dh dt h (Give your answer to two decimal places.) ≈ 0.15 m m/min

The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a rate of kA m³/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area r²h. Calculate the rate that which the water level changes at h = 0.12 m, is A = √√² + r² and the volume is V = assuming that k = 0.23 m/min. 0.45 m dh dt h (Give your answer to two decimal places.) ≈ 0.15 m m/min

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a rate of kA m³/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area is A = √² + r² and the volume is V r²h. Calculate the rate at which the water level changes at h 0.12 m, = dh dt assuming that k = 0.23 m/min. 0.45 m (Give your answer to two decimal places.) dh dt 0.15 m 22 m/min
Transcribed Image Text:The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a rate of kA m³/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area is A = √² + r² and the volume is V r²h. Calculate the rate at which the water level changes at h 0.12 m, = dh dt assuming that k = 0.23 m/min. 0.45 m (Give your answer to two decimal places.) dh dt 0.15 m 22 m/min
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