| Study Case : Q. 31 to 35 |
| A farmer has a rectangular field of length \[30\,m\] and breadth \[15\,m\]. By the farmer a pit of diameter \[7\,m\] is dug \[12\,m\] deep for rain water harvesting. The earth taken out is spread in the field. |
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| Based on the above information, answer the following questions. |
A) \[460\,{{m}^{3}}\]
B) \[462\,{{m}^{3}}\]
C) \[465\,{{m}^{3}}\]
D) \[468\,{{m}^{3}}\]
Correct Answer: B
Solution :
| [b] Volume of the earth taken out |
| \[=\pi {{\left( \frac{7}{2} \right)}^{2}}\times 12=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 12=462{{m}^{3}}\] |
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