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JEE MATHEMATICS MCQ: RATE MEASURE

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Application +4 | -1

If

V=\frac{4}{3} \pi r^3

, at what rate in cubic units is

V

increasing when

r=10

and

\frac{d r}{d t}=0.01

?

View answer and explanation

Correct option: B

4 \pi

Option B (

4 \pi

) is correct because it is the rate of change of volume calculated using related rates, given the rate of change of the radius.

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