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4. We are filling water from a conic tank (with vertex down) to a cylindrical tank. The conic tank has height 18 m and the radius of the base 6 m. The diameter of the cylindrical tank's base is 10 m. We know the water level in the conic tank is decreasing at 1m/s when the water level is 12 m. Find the rate of change of the water level in the cylindrical tank.

4. We are filling water from a conic tank (with vertex down) to a cylindrical tank. The conic tank has height 18 m and the radius of the base 6 m. The diameter of the cylindrical tank's base is 10 m. We know the water level in the conic tank is decreasing at 1m/s when the water level is 12 m. Find the rate of change of the water level in the cylindrical tank.

Advanced Engineering Mathematics
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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4. We are filling water from a conic tank (with vertex down) to a cylindrical tank. The conic tank has height 18 m and the radius of the base 6 m. The diameter of the cylindrical tank's base is 10 m. We know the water level in the conic tank is decreasing at 1m/s when the water level is 12 m. Find the rate of change of the water level in the cylindrical tank.
Transcribed Image Text:4. We are filling water from a conic tank (with vertex down) to a cylindrical tank. The conic tank has height 18 m and the radius of the base 6 m. The diameter of the cylindrical tank's base is 10 m. We know the water level in the conic tank is decreasing at 1m/s when the water level is 12 m. Find the rate of change of the water level in the cylindrical tank.
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