Question

A well with 10 m inside diameter is dug 14 m deep. Earth taken out of it is spread all around to a width of 21 m to form an embakment, the height of the embankment is​

Answer 1

Answer:

The diameter of well is 10m. ∴Radius of well is r = 10 2 102m = 5m. Given that the depth of well is h = 14m. ∴ The volume of cylindrical well = πr2h = 22 7 227 × 5 × 5 × 14 = 22 × 25 × 2 = 100 × 11 = 1100m3. Since, The earth taken out and spread all around to a width of 5m embankment. Let height and radius of embankment are h and R. ∴ R = 5+r = 5+5 = 10m. (∵ r = 5m) Volume of spread = Volume of cylindrical well ⇒ π(R2 − r2)h = 1100 Hence, The height of embankment is 4.66m.Read more on Sarthaks.com - https://www.sarthaks.com/1111620/village-well-with-inside-diameter-deep-earth-taken-out-spread-around-width-form-embankment

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