A metallic ball with a diameter of 12 cm is covered with a layer of ice, so if the ice begins to melt at a rate of 20 cm 3 / minute, it is found that the rate of decrease in the thickness of the ice is 1/20 pi cm / minute so that the ice retains its spherical shape, find the thickness of the layer of ice, then find the rate of change of the thickness of the ice for this layer

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A metallic ball with a diameter of 12 cm is covered with a layer of ice, so if the ice begins to melt at a rate of 20 cm 3 / minute, it is found that the rate of decrease in the thickness of the ice is 1/20 pi cm / minute so that the ice retains its spherical shape, find the thickness of the layer of ice, then find the rate of change of the thickness of the ice for this layer

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