A) \[\frac{22}{7}\]
B) 22
C) \[\frac{7}{22}\]
D) None of these
Correct Answer: C
Solution :
\[V=\frac{4}{3}\pi {{r}^{3}}\] Differentiate with respect to t, \[\frac{dV}{dt}=\frac{4}{3}\pi 3{{r}^{2}}.\frac{dr}{dt}\]Þ\[\frac{dr}{dt}=\frac{1}{4\pi {{r}^{2}}}.\frac{dV}{dt}\] \[\frac{dr}{dt}=\frac{1}{4\times \pi \times 15\times 15}\times 900\]\[\Rightarrow \]\[\frac{dr}{dt}=\frac{1}{\pi }=\frac{7}{22}\].
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