Mathematics · 2022
JEE Main · 27 July 2022, Shift 2 · Q25
A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is tan^-1 3/4. Water is poured…
A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is $\displaystyle \tan ^{-1} \frac{3}{4}$. Water is poured in it at a constant rate of $\displaystyle 6$ 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 $\displaystyle 4$ meters, is
\_\_\_\_.
Official answer
5
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.