A company that produces landscaping materials is du sand into a conical pile. The sand is being poured at of 5ft³/sec; the physical properties of the sand, in co tion with gravity, ensure that the cone's height is r

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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A company that produces landscaping materials is dumping
sand into a conical pile. The sand is being poured at a rate
of 5ft³/sec; the physical properties of the sand, in conjunc-
tion with gravity, ensure that the cone's height is roughly
2/3 the length of the diameter of the circular base.
How fast is the cone rising when it has a height of 30 feet?
Transcribed Image Text:A company that produces landscaping materials is dumping sand into a conical pile. The sand is being poured at a rate of 5ft³/sec; the physical properties of the sand, in conjunc- tion with gravity, ensure that the cone's height is roughly 2/3 the length of the diameter of the circular base. How fast is the cone rising when it has a height of 30 feet?
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