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A 21-m-deep well with diameter 6 m is du...

A 21-m-deep well with diameter 6 m is dug and the earth from digging is evenly spead to form a platform `27 m xx 11` m. Find the height of the platfrom.

Text Solution

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The correct Answer is:
`2 m`
Depth of the well, h = 21 m.
Radius of the well, r = 3 m.
Volume of the earth taken out
`=pir^(2)h=(22/7xx3xx3xx212)m^(3)=594 m^(3)`.
`"Area of the platfrom "=(27xx11)m^(2)=287m^(2).`
Height of the platform
`=("volume of the earth")/("area of the plarform")=(594/297)m=2m`.
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