7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder is decreasing at a rate of 4 meters per hour. At a certain instant, the base radius is 5 meters and the height is 8 meters. What is the rate of change of the volume of the cylinder at the instant?
7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder is decreasing at a rate of 4 meters per hour. At a certain instant, the base radius is 5 meters and the height is 8 meters. What is the rate of change of the volume of the cylinder at the instant?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
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Question
![7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and
the height of the cylinder is decreasing at a rate of 4 meters per hour. At
a certain instant, the base radius is 5 meters and the height is 8 meters.
What is the rate of change of the volume of the cylinder at the instant?
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84ec8423-45b9-4ce6-b46b-45e727171e4a%2F90780625-1fb3-4d41-af0f-194eacf9ca80%2Ffwu4xtj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and
the height of the cylinder is decreasing at a rate of 4 meters per hour. At
a certain instant, the base radius is 5 meters and the height is 8 meters.
What is the rate of change of the volume of the cylinder at the instant?
1
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