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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 \( V = \pi r^2 h \).
Provide your answer below:
\[ \frac{dr}{dt} = \] _______ mm/min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01a138b1-4237-4983-ac1d-3a78af50f30a%2Fa4b1a6ae-4a64-4fa2-aa98-0d97026c00b3%2Fk4wvt6e_processed.jpeg&w=3840&q=75)
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 \( V = \pi r^2 h \).
Provide your answer below:
\[ \frac{dr}{dt} = \] _______ mm/min
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