Sand falls from a conveyor belt at a rate of 14 m/min onto the top of a conical pile. The height of the pile is always three-eighths of the base diameter. How fast are the height and the radius changing when the pile is 8 m high? cm/min when the The height is changing at a rate of height is 8 m. (Type an integer or decimal. Round to the nearest hundredth.)

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 falls from a conveyor belt at a rate of 14 m³/min onto the top of
a conical pile. The height of the pile is always three-eighths of the
base diameter. How fast are the height and the radius changing when
the pile is 8 m high?
D
The height is changing at a rate of
height is 8 m.
(Type an integer or decimal. Round to the nearest hundredth.)
cm/min when the
Transcribed Image Text:Sand falls from a conveyor belt at a rate of 14 m³/min onto the top of a conical pile. The height of the pile is always three-eighths of the base diameter. How fast are the height and the radius changing when the pile is 8 m high? D The height is changing at a rate of height is 8 m. (Type an integer or decimal. Round to the nearest hundredth.) cm/min when the
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