A well with 10m inside diameter is dug 14m deep. Earth is taken out of it is spread all around to the width of 5m to form a embankment. Find the height of the embankment?
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Answer:
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Answer:
Answer:
3.5 m
Step-by-step explanation:
Diameter of well = 10 m
Radius of well = \frac{Diameter}{2}=\frac{10}{2}=5 m2Diameter=210=5m
Depth of well = 14 m
Volume of well = \pi r^2 hπr2h
= \frac{22}{7} \times 5^2 \times 14722×52×14
= 1100 m^31100m3
Earth taken out of it is spread all a round to a width of 5m to form an embarkment.
Radius of embarkment. = 5 m + 5 m = 10 m
let the height of embankment be h
Volume of embankment = \pi r^2 hπr2h
= \frac{22}{7} \times 10^2 h722×102h
Since Earth taken out of it is spread all a round to a width of 5m to form an embarkment. So, volume of well = Volume of embankment
So,1100=\frac{22}{7} \times 10^2 h1100=722×102h
1100 \times \frac{7}{22} \times \frac{1}{10^2}=h1100×227×1021=h
3.5=h3.5=h
Step-by-step explanation:
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