18. A well of inner diameter 14 m is dug to a depth of 12 m. Earth taken out of it has been evenly
spread all around it to a width of 7 m to form an embankment. Find the height of the
embankment so formed.
volume of earth taken out
Hint. Required height =
Tex [(14)2 – (7)?]
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Answer:
Let height of embankment be′h′meter. Then
Volume of embankment = Volume of earth taken out from the well
⇒π(R×R − r×r)h= πr×rH
⇒((7+7)×(7+7)−7×7)×h=7×7×12
⇒(196−49)×h=49×12
⇒h= 147 / 49×12 =4m
∴ Height of embankment =4m.
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