A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing. Remember that the volume of a cylinder is V = ar²h. Provide your answer below: dr dt mm min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a
rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the
radius when the radius is 3 mm?
Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing.
Remember that the volume of a cylinder is V = ar²h.
Provide your answer below:
dr
mm
dt
min
Transcribed Image Text:A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing. Remember that the volume of a cylinder is V = ar²h. Provide your answer below: dr mm dt min
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