A) 50
B) 150
C) 250
D) 350
Correct Answer: B
Solution :
Volume of raised water in cylindrical beaker \[=\pi {{r}^{2}}h=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 5.6\] \[=215.6\,\,\text{cu}\,\,\text{cm}\] Volume of a marble \[=\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\times \frac{22}{7}\times {{(0.7)}^{3}}\] \[=\frac{4.312}{3}\,\,\text{cu}\,\,\text{cm}\] \[\therefore \] Number of marbles \[=\frac{215.6}{\frac{4.312}{3}}=\frac{215.6\times 3}{4.312}=150\]
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