The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters, then how fast is the VOLUME changing? Note: Volume of a sphere = (1) 3 π √ · (radius)³ The rate of change of the VOLUME is (Enter your answer as a decimal number rounded to 2 places.) cubic meters per minute.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
icon
Related questions
Question
Question 7
The radius of a sphere is decreasing at a rate of
2 meters per minute.
When the radius is 12 meters,
then how fast is the VOLUME changing?
Note: Volume of a sphere =
(3) · π · (radius)³
The rate of change of the VOLUME is
cubic meters per minute.
(Enter your answer as a decimal number rounded to 2 places.)
Transcribed Image Text:Question 7 The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters, then how fast is the VOLUME changing? Note: Volume of a sphere = (3) · π · (radius)³ The rate of change of the VOLUME is cubic meters per minute. (Enter your answer as a decimal number rounded to 2 places.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning