4. (a) For all times t > 0, the height of a cone grows twice as fast as the radius of the base. Suppose that when the radius of the base is 3cm, the radius is growing at 6cm per minute Find the rate of change of the volume V of the cone at that moment. (Note: V = Sr2h.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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4. (a)
For all times t > 0, the height of a cone grows twice as fast as the radius of the base.
Suppose that when the radius of the base is 3cm, the radius is growing at 6cm per minute
Find the rate of change of the volume V of the cone at that moment. (Note: V = Sr2h.)
Transcribed Image Text:4. (a) For all times t > 0, the height of a cone grows twice as fast as the radius of the base. Suppose that when the radius of the base is 3cm, the radius is growing at 6cm per minute Find the rate of change of the volume V of the cone at that moment. (Note: V = Sr2h.)
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