A 20 m deep well with diameter 7 m. is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Then the height of the platform is

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A 20 m deep well with diameter 7 m. is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Then the height of the platform is

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2.5 m

3.4 m

3.5 m

5.2 m

answer is D.

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Detailed Solution

Volume of well $=$ volume of flat form

$\Rightarrow π r^{2} h = l_{1} . b_{1} . h_{1}$

$[∴ r = \frac{7}{2} m, h = 20 m, l = 22 m, b = 14 m]$

$\Rightarrow \frac{22}{7} . \frac{7}{2} . \frac{7}{2} .20 = .14. h_{1}$

$\Rightarrow h_{1} = \frac{22}{7} . \frac{7}{2} . \frac{7}{2} . \frac{20}{1} . \frac{1}{22} . \frac{1}{14}$

$\Rightarrow h_{1} = \frac{5}{2}$

$\Rightarrow h_{1} = 2.5 m$

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