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6. The radius of a sphere is increasing at the rate of 0.2 centimetres per minute (0.2cm/min). At the same time the surface area is increasing at the rate of four centimetres squared per minute (4cm²/min). Determine the rate at which the volume of the sphere is changing at that instant in time.

6. The radius of a sphere is increasing at the rate of 0.2 centimetres per minute (0.2cm/min). At the same time the surface area is increasing at the rate of four centimetres squared per minute (4cm²/min). Determine the rate at which the volume of the sphere is changing at that instant in time.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. The radius of a sphere is increasing at the rate of 0.2 centimetres per minute (0.2cm/min). At the same time the surface area is increasing at the rate of four centimetres squared per minute (4cm²/min). Determine the rate at which the volume of the sphere is changing at that instant in time.
Transcribed Image Text:6. The radius of a sphere is increasing at the rate of 0.2 centimetres per minute (0.2cm/min). At the same time the surface area is increasing at the rate of four centimetres squared per minute (4cm²/min). Determine the rate at which the volume of the sphere is changing at that instant in time.
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