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The radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (round your answer to two decimal places.) mm…

The radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (round your answer to two decimal places.) mm…
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the radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (round your answer to two decimal places.) mm3/s

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User Allan Stepps
by
8.2k points

1 Answer

5 votes

Answer:

V = (4/3)πr³

dV = 4πr²dr

= 4π(50²)(2)

= 20,000π mm³/s

= about 62,831.85 mm³/s

answered
User Iain Duncan
by
8.8k points
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