Mathematics · 2014
JEE Main · 19 April 2014, Shift 1 · Q73
If the volume of a spherical ball is increasing at the rate of 4 π cc / sec, then the rate of increase of its radius (in cm / sec ), when the volume…
If the volume of a spherical ball is increasing at the rate of $\displaystyle 4 \pi \mathrm{cc} / \mathrm{sec}$, then the rate of increase of its radius (in $\displaystyle \mathrm{cm} / \mathrm{sec}$ ), when the volume is $\displaystyle 288 \pi \mathrm{cc}$, is :
Official answer
(3)
$\displaystyle \frac{1}{36}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.