Gravel is falling on a conical pile at the rate of 32- min 1 If the radius of the pile is always the height, find the rate at which the height is changing when the pile is 9.5 feet high. O O dh dt dh dt dh dt 256π ft 19 min 512π ft 361 min 512 ft 361π min 256 ft 19π min

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...
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Gravel is falling on a conical pile at the rate of 32-
min
1
If the radius of the pile is always the height, find the rate at which the
height is changing when the pile is 9.5 feet high.
dh 256π ft
dt
19 min
dh
dt
dh
dt
dh
dt
=
=
=
=
512π ft
361 min
512 ft
361π min
256 ft
19π min
Transcribed Image Text:Gravel is falling on a conical pile at the rate of 32- min 1 If the radius of the pile is always the height, find the rate at which the height is changing when the pile is 9.5 feet high. dh 256π ft dt 19 min dh dt dh dt dh dt = = = = 512π ft 361 min 512 ft 361π min 256 ft 19π min
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