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JEE MATHEMATICS MCQ: RATE MEASURE

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If a metallic circular plate of radius

50 \mathrm{~cm}

is heated so that its radius increases at the rate of

1 \mathrm{~mm}

per hour, then the rate at which, the area of the plate increases (in

\mathrm{cm}^2 /

hour) is

View answer and explanation

Correct option: B

10 \pi

Option B (

10 \pi

) is correct because the rate at which the area of the plate increases is calculated to be

10 \pi \text{{ cm}}^2/\text{{hour}}

.

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