Sand is poured onto a surface at 11 cm³/sec, forming a con- ical pile whose base diameter is always equal to its altitude. How fast is the altitude of the pile increasing when the pile is 3 cm high? Note that the volume of a cone is r2h where r is the radius of the base and h is the height of the cone. cm/sec Tries 0/99

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Sand is poured onto a surface at 11 cm³/sec, forming a con-
ical pile whose base diameter is always equal to its altitude.
How fast is the altitude of the pile increasing when the pile is
3 cm high? Note that the volume of a cone is ur2h where r
is the radius of the base and h is the height of the cone.
cm/sec
Tries 0/99
Transcribed Image Text:Sand is poured onto a surface at 11 cm³/sec, forming a con- ical pile whose base diameter is always equal to its altitude. How fast is the altitude of the pile increasing when the pile is 3 cm high? Note that the volume of a cone is ur2h where r is the radius of the base and h is the height of the cone. cm/sec Tries 0/99
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