Question

a well with 10m inside diameter is dug 14n deep. Earth taken out of its spread all around it to make an embankment of height. Find the width of the embankment.

a) 5m
b) 4m
c) 4.3m
d) 6m​

Answer 1

Answer:

it's 4.66m

Step-by-step explanation:

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 Read more on Sarthaks.com - https://www.sarthaks.com/1111620/village-well-with-inside-diameter-deep-earth-taken-out-spread-around-width-form-embankment