A spherical balloon is being inflated at the rate of 30 $c{c^{\;\;}}/{\rm{min}}$. The rate of increase of the surface area of the balloon when its diameter is 14cm, is

JEE MATHEMATICS MCQ: RATE MEASURE

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A spherical balloon is being inflated at the rate of 30

c{c^{\;\;}}/\mathrm{min}

. The rate of increase of the surface area of the balloon when its diameter is 14cm, is

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Correct option: B

10 sq cm/min

Option B (10 sq cm/min) is correct because it is the rate of increase of the surface area calculated using related rates, given the rate of inflation and the diameter.

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