JEE MATHEMATICS MCQ: RATE MEASURE

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The rate of change of the surface area of the sphere of radius

r

when the radius is increasing at the rate of

2\,cm/s

is proportional to

View answer and explanation

Correct option: C

{r^2}

Option D (

r

) is incorrect. The rate of change of the surface area is proportional to the square of the radius, not the radius itself. The correct answer should be

{r^2}

. However, since the provided answer is

{r^2}

and the explanation states that the answer is

{r^2}

, there seems to be a typo in the options. The correct answer should be proportional to

{r^2}

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m

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