Question

A well of inner diameter 14m is dug to a depth of 12m earth taken out of it has been evenly spread all around it to a width of 7m to form an embankment find the height of the embankment so formed

Answer 1

Answer:PLEASE MARK BRAINLIEST

h = 4 m

Step-by-step explanation:

Vol. of part of soil taken out = Vol. of embankment

Vol. of part of soil taken out(cylinder) = π × 7² × 12 = 22/7 × 49 × 12 =1848 m³

Vol. of embankment(hollow cylinder) = π × h (R² - r²)

h = Height of the embankment so formed

R = 7 m + 7 m = 14 m

r = 7 m

Vol. of embankment(hollow cylinder) = 22/7 × h (14² - 7²)

                                                              = 22 h/7 × (196 - 49) = 22h/7 × (147)

                                                              = 22 × h × 21 = 462 h

Since,

Vol. of part of soil taken out = Vol. of embankment

So, 1848 = 462 h

      h = 1848/462 = 4 m