A) 486000 cu cm per sec
B) 1458000 cu cm per sec
C) 43740000 cu cm per sec
D) None of these
Correct Answer: B
Solution :
\[\frac{da}{dt}=60cm/sec,\]where a is edge and t is time. \[V={{a}^{3}}\]. \[\therefore \frac{dV}{dt}=3{{a}^{2}}\frac{da}{dt}=3{{a}^{2}}\times 60=180{{a}^{2}}=180\times {{(90)}^{2}}\] \[=1458000c{{m}^{3}}/sec\].
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