A) \[\frac{1}{2}\]
B) \[\frac{2}{3}\]
C) \[\frac{3}{4}\]
D) \[\frac{3}{5}\]
Correct Answer: B
Solution :
| [b] Volume of earth dug out |
| \[=\left( \frac{22}{7}\times 7\times 7\times 10 \right)=1540\,{{m}^{3}}\] |
| Area of embankment \[=\frac{22}{7}[{{(28)}^{2}}-{{(7)}^{2}}]\] |
| \[=\frac{22}{7}\times (28+7)(28-7)\] |
| \[=\frac{22}{7}\times 35\times 21=2310\] |
| \[\therefore \] Height of embankment |
| \[=\frac{\text{Volume}}{\text{Area}}=\frac{\text{1540}}{\text{2310}}=\frac{\text{2}}{\text{3}}m\] |
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