Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q73
If the surface area of a sphere of radius r is increasing uniformly at the rate 8 cm^2 / s, then the rate of change of its volume is:
If the surface area of a sphere of radius $\displaystyle r$ is increasing uniformly at the rate $\displaystyle 8 \mathrm{~cm}^2 / \mathrm{s}$, then the rate of change of its volume is :
Official answer
(4)
proportional to r
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.