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Q.

An agricultural field is in the form of a rectangle of length 20 m and width 14 m. A 10 m deep well of diameter 7 m is dug in a corner of the field and the earth taken out of the well is spread evenly over the remaining part of the field, then the raise in its level is

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a

1.6 m

b

2.8 m

c

3.4 m

d

4.8 m

answer is D.

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Detailed Solution

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Let the height raised by h metres. [Area of the field Area of the base of well] × h [earth dug out from the well]
$\Rightarrow [20 \times 14 - π {(\frac{7}{2})}^{2}] \times h = π {(\frac{7}{2})}^{2} \times 10 \Rightarrow [280 - \frac{22}{7} \times \frac{49}{4}] h = \frac{22}{7} \times \frac{49}{4} \times 10 \Rightarrow h = \frac{770}{483} = 1.6 m approx.$

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