A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 14 in./min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice decreasing? 3

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Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
Question
The thickness of the ice is decreasing at a rate of
|in. / min when the ice is 3 in. thick.
(Type an exact answer, using n as needed.)
Transcribed Image Text:The thickness of the ice is decreasing at a rate of |in. / min when the ice is 3 in. thick. (Type an exact answer, using n as needed.)
A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of
14 in. /min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice
decreasing?
Transcribed Image Text:A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 14 in. /min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice decreasing?
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