A cylinder of diameter 12cm and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.5cm per minute. What is the rate at which the volume of water is leaking from the cylinder, in centimetres cubed per minute, when the level of water is down to 4cm? Hint: The volume, V, of a cylinder of radius r and height h is V = πr²h. 4π 2π 0.5 144T² 18п
A cylinder of diameter 12cm and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.5cm per minute. What is the rate at which the volume of water is leaking from the cylinder, in centimetres cubed per minute, when the level of water is down to 4cm? Hint: The volume, V, of a cylinder of radius r and height h is V = πr²h. 4π 2π 0.5 144T² 18п
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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Transcribed Image Text:A cylinder of diameter 12cm and unknown height is filled with water. The cylinder
starts leaking, and the height of water in this cylinder decreases by 0.5cm per
minute. What is the rate at which the volume of water is leaking from the cylinder, in
centimetres cubed per minute, when the level of water is down to 4cm?
Hint: The volume, V, of a cylinder of radius r and height h is V = πr²h.
OO
4π
2π
0.5
144T²
18п
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