A cylinder of diameter 8cm and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.25cm 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 3cm? Hint: The volume, V, of a cylinder of radius r and height h is V = r²h. 167² 8TT 4π

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter65: Achievement Review—section Six
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Problem 70AR: Compute the number of cubic centimeters of iron required for the cast-iron plate shown. The plate is...
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A cylinder of diameter 8cm and unknown height is filled with water. The cylinder
starts leaking, and the height of water in this cylinder decreases by 0.25cm 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 3cm?
Hint: The volume, V, of a cylinder of radius r and height h is V = πr²h.
167²
8TT
4π
2πT
0.25
Transcribed Image Text:A cylinder of diameter 8cm and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.25cm 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 3cm? Hint: The volume, V, of a cylinder of radius r and height h is V = πr²h. 167² 8TT 4π 2πT 0.25
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