Sand poured on the ground at the rate of 3 ft/min forms a conical pile whose height is one third the diameter of the base. How fast is the altitude of the pile increasing when the radius of the base is 2 ft? A. 3/4 π ft/min B. 2/3 π ft/min C.1/3 π ft/min D. 1/4 π ft/min

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 18A: Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise...
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67. Sand poured on the ground at the rate of 3 ft/min forms a conical pile whose height is one third the diameter of the base. How fast is the altitude of the pile increasing when the radius of the base is 2 ft? A. 3/4 π ft/min B. 2/3 π ft/min C.1/3 π ft/min D. 1/4 π ft/min
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