JEE Main 2022MathematicsApplication Of DerivativesMaxima And MinimamediumMCQ

JEE Main 2022Application Of Derivatives Question with Solution

From: JEE Main 2022 (Online) 26th June Evening Shift

Question

Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :

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Show full solutionCorrect option: B
Correct answer
B19 : 45

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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.