JEE Main 2022MathematicsApplication Of DerivativesRate Of Change Of QuantitymediumNumerical

JEE Main 2022 — Application Of Derivatives Question with Solution

From: JEE Main 2022 (Online) 27th July Evening Shift

Question

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

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation

JEE Main 2022 (Online) 27th July Evening Shift Mathematics - Application of Derivatives Question 65 English Explanation

..... (i)

And ...... (ii)

i.e. if

Curved area

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About this question

This is a previous-year question from JEE Main 2022, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.