Question

A well of diameter 3 metre is dug 14m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of with 4 metre to form an embankment find the length of the embankment.​

Answer 1

Answer:

h = 1.125 m

Step-by-step explanation:

Let length of embankment = h.

Depth = H = 14 m.

Diameter of well = 3 m.

Radius of well = 3/2 m = 1.5 m.

Radius of embankment R = 4 + 1.5 = 5.5 m.

Volume of embankment = volume of well.

=> π(R² - r²) * h = π * r² * H

=> π * (5.5² - 1.5²) * h = π * (1.5)² * 14

=> 28 * h = 31.5

=> h = 1.125 m

Hence, length of embankment = 1.125 m

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