JEE Main 2018 — Application of Derivatives Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
If a right circularcone having maximum volume, is inscribed in a sphere of radius , then the curved surface area (in ) of this cone is
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Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Sphere of radius
Let be base radius and height of cone respectively.
So, volume of cone
In right angled by Pythagoras theorem At maximum volume ocurs at As from (1), Therefore curved surface area
In right angled by Pythagoras theorem At maximum volume ocurs at As from (1), Therefore curved surface area
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This is a previous-year question from JEE Main 2018, 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.