a well with 14 inside diameter is dug 8m deep. the earth taken out of it has been evenly spread all around it to a width of 21m to

Question

a well with 14 inside diameter is dug 8m deep. the earth taken out of it has been evenly spread all around it to a width of 21m to form an embarkment .find the height of the embarkment

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Eliza 5 months 2021-07-03T07:21:51+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-03T07:23:19+00:00

    Given

    • Diameter = 14m
    • Radius = 7m
    • Depth = 8m
    • Let Height of embankment = Xm

    To find

    • Height of the embankment ?

    Solution

    Volume of earth dug out from well = \sf{\red{πr²}}

     \frac{22}{7} × 7 × 7 × 8

    \boxed{\text{→ 1232m³}}

    The earth Spread out of width = 21m

    Area × h = 1232

    \boxed{\text{➲π(R²-r²)h = 1232 }}

     \frac{22}{7} (28²-7²)h = 1232

     \frac{22}{7} (735)h= 1232

    ➲h =  \frac{1232×7}{22×735}

    ➲h =  \frac{8624}{16170}

    \boxed{\text{ ➲h = 0.533m }}

    \boxed{\text{➲h = 53.3cm }}

    Height of embankment is 53.3cm

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