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Application of Derivatives question

2022 · 27 Jul · Shift 2 · Q36

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JEE Main
Mathematics
Application of Derivatives
2022 · 27 Jul · Shift 2 · Q36

Application of Derivatives question

2022 · 27 Jul · Shift 2 · Q36

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1

A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is

\tan ^{-1} \frac{3}{4}

. Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square meter per hour), at which the wet curved surface area of the tank is increasing, when the depth of water in the tank is 4 meters, is

\underline{\hspace{2cm}}

.

Numerical answer

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