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Question -

The radius of an air bubble is increasing at the rate of 0.5 cm/sec. At what rate is the volume of the bubble increasing when the radius is 1 cm?



Answer -

Given radius of an air bubble is increasing at the rate of 0.5cm/sec

To find the rate at which the volume of the bubble increasingwhen the radius is 1 cm

Let the radius of the given air bubble be r cm and let V be thevolume of the air bubble at any instant time

Then according to the given question,

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