Question

A well with 10m inside diameter is dug 14m deep.Earth taken out of it is spread all around it to make an embankment of height 4(2)/(3)m .Find the width of the embankment. (a) 5m (b) 4m (c) 4.3m (d) 6m

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

5 m

Step-by-step explanation:

volume of embankment = (pi) (h2) [(r2)^2-(r1)^2 ]

volume of embankment also = volume of earth dug out = (pi) (r1)^2 (h)

therefore, (pi) (r1^2) (h) = (pi) (h2) [ (r2^2) - (r1^2) ]

(r1^2) = (1/3) [ r2^2 - r1^2 ]

25 = (1/3) [ r2^2 - 25 ]

75 = r2^2 - 25

75+25 = r2^2

100 = r2^2

r2 = 10

therefore width of the embankment = r2-r1

= 10-5

= 5m