Oil is leaking from a broken pipe at a rate of 160 ft³ per minute. Assume the oil forms a thin cylindrical slick of constant thickness 0.4 feet. Find the rate at which the radius, r, of the oil slick is increasing when r = 5 feet. (You may use the fact that a cylinder of thickness h and radius r has volume xr² h.) Include units in your final answer.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Oil is leaking from a broken pipe at a rate of 160 ft per minute. Assume the oil
forms a thin cylindrical slick of constant thickness 0.4 feet. Find the rate at which
the radius, r, of the oil slick is increasing when r = 5 feet. (You may use the fact
that a cylinder of thickness h and radius r has volume xr2 h.) Include units in your
final answer.
Transcribed Image Text:Oil is leaking from a broken pipe at a rate of 160 ft per minute. Assume the oil forms a thin cylindrical slick of constant thickness 0.4 feet. Find the rate at which the radius, r, of the oil slick is increasing when r = 5 feet. (You may use the fact that a cylinder of thickness h and radius r has volume xr2 h.) Include units in your final answer.
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