A WELL OF INNER DIAMETER 14 M IS DUG TO A DEPTH OF 12 M .EARTH TAKEN OUT OF IT HAS BEEN EVENLY SPREAD ALL AROUND IT TO A WIDTH 7M TO FORM AN EMBANKMENT .FIND THE HEIGHT OF THE EMBANKMENT SO FORMES
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GIVEN width of embankment = 7mts
its inner radius (r) = 7 ms and outer radius (R) = 7+7=14mts
volume of earth dug out = vol of soil in embankment
πr²h = vol of soil in embankment
22/7×7²×12000 = π h ( R²- r² )
1848000 = 22/7 × h × ( 14²-7² )
1848000 × 7/22 = h x 147
h = 84000 x 7 / 147
h = 588000 / 147
h = 4000 mts
its inner radius (r) = 7 ms and outer radius (R) = 7+7=14mts
volume of earth dug out = vol of soil in embankment
πr²h = vol of soil in embankment
22/7×7²×12000 = π h ( R²- r² )
1848000 = 22/7 × h × ( 14²-7² )
1848000 × 7/22 = h x 147
h = 84000 x 7 / 147
h = 588000 / 147
h = 4000 mts
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