A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and its height is 9 inches. If the volume of the water is decreasing at a rate of 527 cubic inches per minute, what is the rate, in inches per minute, at which the height of the water is changing when the height of the water is 5 inches? Submit an exact answer. Do not forget to include a negative sign if the height is decreasing. Remember that the volume of a cylinder is V=πr2h

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
icon
Related questions
Question
A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and its height is 9 inches. If the volume of the water is decreasing at a rate of 527 cubic inches per minute, what is the rate, in inches per minute, at which the height of the water is changing when the height of the water is 5 inches? Submit an exact answer. Do not forget to include a negative sign if the height is decreasing. Remember that the volume of a cylinder is V=πr2h.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning