a well of diameter 3 cm is dug 14m deep. the earth taken out of it has been spread evenly all around it to a width of 4m to form an embankment. find the height of the embankment
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Dimension of well
→d=3cm ; →r=1.5cm
→h=14 cm
Volume of soil taken out of the well
→πr²h
=22/7×(1.5)²×h
=99m³
→|Outer Radius of embankment=R=1.5m+4m=5.5m
Area of embankment = Outer Area - Inner Area
→ πR²-πr²
= π(R²-r²)
=22/7[(5.5)²-(1.5)²]
=22/7[30.25-2.25]
=22/7[28m²]
=88m²
Height of embankment = volume/Area
→99/88m
Height of embankment=1.125m
Hope it helps✌
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