A well is to be dug with diameter 4m and depth 10m. Find the quantity of earth to be excavated, the earth taken out is spreads evenly all around to a width of 4m to form an embankment. Find the height of the embankment.
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Answer:
height of embankment is 1.25m
Step-by-step explanation:
Given:- Inside radius (r) of the well = 4÷2m = 2m
the quantity of Earth excavated=volume volume of the well
= πr2h
= 22÷7×2×2×10
= 880÷7
Let the height of embankment= h m
it's internal radius (r) = 2m
external radius (R) = 2+4= 6m
now, the embankment is of the form of hollow cylinder...
volume of the embankment=volume of the well.
-- π(R2-r2)h = 880÷7
-- 22÷7 ( 6×6 - 2×2 ) h = 880÷7
-- 22÷7 × 32 × h = 880÷7
-- h = 880×7 ÷ 7×22×32
-- h = 1.25 m
hope you liked it....
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