a well with diameter 14 M is is dug 8 m deep
the earth taken out of it has been evenly spread all around to a width of 21 m to form an embankment find the height of embankment
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radius=diameter/2=14/2=7m
height=8m
width=21m
Volume of a cylinder = V = π x r^2 x h
volume of earth taken out = 22/7 x 7x 7 x 14 = 392m^3
Let the height of embankment be H
volume of earth used 392m^3
When you make the embankment
The volume of the of the outer cylinder - volume of the inner cylinder = volume of earth
Outer radius is Inner radius + 21m width = 28m
( π x 28 x 28 x H ) - ( π x 7 x 7 x H ) = 392
πx784xH - πx49xH = 392
735 x H = 392
H = 392 / 735pi =0.5333m^3=53.3cm
height=8m
width=21m
Volume of a cylinder = V = π x r^2 x h
volume of earth taken out = 22/7 x 7x 7 x 14 = 392m^3
Let the height of embankment be H
volume of earth used 392m^3
When you make the embankment
The volume of the of the outer cylinder - volume of the inner cylinder = volume of earth
Outer radius is Inner radius + 21m width = 28m
( π x 28 x 28 x H ) - ( π x 7 x 7 x H ) = 392
πx784xH - πx49xH = 392
735 x H = 392
H = 392 / 735pi =0.5333m^3=53.3cm
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