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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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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