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The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. At what rate, in centimeters per hour, is its diameter increasing with respect to time at the instant the radius of the
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The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. At what rate, in centimeters per hour, is its diameter increasing with respect to time at the instant the radius of the sphere is 3 centimeters?

User Gene Bushuyev
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Answer: The diameter is increasing at a rate of 5.33 centimeters per hour when the radius of the sphere is 3 centimeters.

Step-by-step explanation: Please see the attachments below

The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. At-example-1
The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. At-example-2
The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. At-example-3
User DgBP
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