A sphere is partially filled with air. The radius of the sphere is 8 cm. If the volume of the sphere is decreasing at a rate of 534cubic cm per minute, what is the rate, in cm per minute, at which the radius of the sphere is changing when the radius is 2cm? Round your answer to the nearest hundredth. (Do not include any units in your answer.) Remember that the volume of a sphere is V=4/3 πr 3.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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A sphere is partially filled with air. The radius of the sphere is 8 cm. If the volume of the sphere is decreasing at a rate of 534cubic cm per minute, what is the rate, in cm per minute, at which the radius of the sphere is changing when the radius is 2cm?

Round your answer to the nearest hundredth. (Do not include any units in your answer.)

Remember that the volume of a sphere is V=4/3 πr 3.

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