Question

A well with 10 m inside diameter is dug 8.4 m deep. Earth taken out of it is spread all around it to a width of 7.5 m to form an embankment. Find the height of the embankment.

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Answer 1

Step-by-step explanation:

ANSWER

The volume of earth(soil) taken out which is equal to the volume of Cylinder.

Volume of earth taken out from well = Volume embankment

⇒πr 2 h=π(R 22 −R12)×H

⇒52×8.4=((12.5) 2−5)×H

⇒H= 131.2525×8.4

=1.6m

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Answer 2

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The volume of earth (soil) taken out which is equal to the volume of Cylinder.

Volume of earth taken out from well = Volume embankment

$\sf\small{πr}^{2} h \: = \: π \: (r \times \frac{2}{2 }) \: \times \: h$

$\sf\small {5}^{2} \times \: 8.3 \: = \: ( \: (12.5 {)}^{2} \: \: - {5}^{2} \times \: h$

$\sf\small{h} \: = \: \frac{25 \: \times \: 8.4}{ 134.25 } = 1.6m$

Hence , the answer in 1.6m