10. Gravel is being dumped from a conveyor belt at a rate of 34 ft/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 13 ft high? Round the result to the nearest hundredth. HINT: volume of a cone = ar²h 3

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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10. Gravel is being dumped from a conveyor belt at a rate of 34 ft/min and its coarseness is such that it forms a pile in
the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when
the pile is 13 ft high? Round the result to the nearest hundredth. HINT: volume of a cone =
ar²h
3
Transcribed Image Text:10. Gravel is being dumped from a conveyor belt at a rate of 34 ft/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 13 ft high? Round the result to the nearest hundredth. HINT: volume of a cone = ar²h 3
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