Question
The radius of the base of a cylinder
is increasing at a rate of 1 meter
per hour and the height of the
cylinder is decreasing at a rate
of 4 meters per hour. At a certain
instant, the base radius is 5 meters
and the height is 8 meters. What is
the rate of change of the volume
of the cylinder at that instant (in
cubic meters per hour)?
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Transcribed Image Text

The radius of the base of a cylinder is increasing at a rate of 1 meter per hour and the height of the cylinder is decreasing at a rate of 4 meters per hour. At a certain instant, the base radius is 5 meters and the height is 8 meters. What is the rate of change of the volume of the cylinder at that instant (in cubic meters per hour)?

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