The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the instant when the radius of the sphere is 4 centimeters, what is the rate of change of the surface area of the sphere? The volume of a sphere can be found with the equation V = ³ and the surface 1 πρ area can be found with S = 4πr². Round your answer to three decimal places (if necessary).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 70AR: Compute the number of cubic centimeters of iron required for the cast-iron plate shown. The plate is...
icon
Related questions
Question
The volume of a sphere is increasing at a
constant rate of 1827 cubic centimeters per
second. At the instant when the radius of the
sphere is 4 centimeters, what is the rate of
change of the surface area of the sphere?
The volume of a sphere can be found with
the equation V = ³ and the surface
1
area can be found with S = 4πr². Round
your answer to three decimal places (if
necessary).
Answer:
Submit Answer
cm
2
sec
attempt 1 out of 2
Transcribed Image Text:The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the instant when the radius of the sphere is 4 centimeters, what is the rate of change of the surface area of the sphere? The volume of a sphere can be found with the equation V = ³ and the surface 1 area can be found with S = 4πr². Round your answer to three decimal places (if necessary). Answer: Submit Answer cm 2 sec attempt 1 out of 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning