JEE Main 2013 — Application of Derivatives Question with Solution
JEE Main 2013 (09 Apr Online)
Question
If the surface area of a sphere of radius is increasing uniformly at the rate , then the rate of change of its volume is:
Choose an option
Show full solutionCorrect option: D
Correct answer
Dproportional to
Step-by-step explanation
Putting the value of in (i), we get
is proportional to .
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This is a previous-year question from JEE Main 2013, 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.