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Mathematics · JEE | APPLICATION OF DERIVATIVES
हिन्दीA cylindrical tank of radius \( 10 \text{ m} \) is being filled with wheat at the rate of \( 314 \text{ m}^3/\text{h} \). The depth of the wheat is increasing at the rate of:
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Correct answer · Option C
\( 1 \text{ m/h} \)
Explanation
Volume \( V = \pi r^2 h = 100\pi h \). Given \( \frac{dV}{dt} = 314 \), with \( \pi \approx 3.14 \), \( \frac{dh}{dt} = \frac{314}{314} = 1 \text{ m/h} \).
