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).
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 67AR
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988e8da4-636f-4e55-9c5d-830b8462a198%2Fac3ea310-463b-4977-a3fc-62ac8c4e7104%2Fiumbms9_processed.jpeg&w=3840&q=75)
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
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