A well of diameter 4m is dug 21m deep.The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 3m to form an embankment.Find the height of the embankment.
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Answer:
7392 / 726 m
Step-by-step explanation:
Area of the earth taken out = the volume of the well
Volume of the well = pi × r ×r × h
Volume of the earth taken out = 22/7 × 4 m ×4 m × 21 m
Volume of the earth taken out = 22 ×4 ×4 ×3 m^3
Volume of the earth taken out = 1056 m^3
Now the volume of the embankment
= Pi × (R^2 -r^2) × h
So height of the embankment
= Volume of embankment ÷ Pi × (R^2 - r^2)
= 1056 m^3 ÷ {22/7 × [(7 m)^2 - (4 m)^2]}
= 1056 m^3 ÷ [22/7 × (49 m^2 - 16 m^2)]
= 1056 m^3 ÷ [22/7 × 33 m^2]
= 1056 m^3 ÷ [726/7 m^2]
= 1056 m^3 × 7 / 726 m^2
= 7392 m^(3-2) /726
= 7392 / 726 m
Hope this helps you.
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0
Answer:
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