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A cylindrical tank (with a circular base) is filled with a water that is draining through a small circular hole in its base. If the tank is 9 meter height with radius 4 meter and the drain hole has radius 10 cm. By using Torricelli's Law, the flow rate of water in cubic meter per second (if all dimensions are given in meter) is given by dv =-4.84, V dt where v is the volume of tank, Ao is the drain hole, h is the height above the hole at time r (seconds). How long does it take for the tank to empty?

A cylindrical tank (with a circular base) is filled with a water that is draining through a small circular hole in its base. If the tank is 9 meter height with radius 4 meter and the drain hole has radius 10 cm. By using Torricelli's Law, the flow rate of water in cubic meter per second (if all dimensions are given in meter) is given by dv =-4.84, V dt where v is the volume of tank, Ao is the drain hole, h is the height above the hole at time r (seconds). How long does it take for the tank to empty?

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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A cylindrical tank (with a circular base) is filled with a water that is draining through a small circular hole in its base. If the tank is 9 meter height with radius 4 meter and the drain hole has radius 10 cm. By using Torricelli's Law, the flow rate of water in cubic meter per second (if all dimensions are given in meter) is given by dv = -4.84, h dt where v is the volume of tank, A. is the drain hole, h is the height above the hole at time t (seconds). How long does it take for the tank to empty?
Transcribed Image Text:A cylindrical tank (with a circular base) is filled with a water that is draining through a small circular hole in its base. If the tank is 9 meter height with radius 4 meter and the drain hole has radius 10 cm. By using Torricelli's Law, the flow rate of water in cubic meter per second (if all dimensions are given in meter) is given by dv = -4.84, h dt where v is the volume of tank, A. is the drain hole, h is the height above the hole at time t (seconds). How long does it take for the tank to empty?
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