The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and surface area when the radius is 15 inches and the height is 45 inches? rate of change of the volume in³/min rate of change of the surface area in2/min
The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and surface area when the radius is 15 inches and the height is 45 inches? rate of change of the volume in³/min rate of change of the surface area in2/min
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates
of change of the volume and surface area when the radius is 15 inches and the height is 45 inches?
in³/min
rate of change of the volume
rate of change of the surface area
in²/min
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