Question

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

Answer 1

$\huge{\underline{\red{\mathfrak{♡ANSWER♡}}}}$

The shape of the well will be cylindrical as given below.

Ncert solutions class 10 chapter 13-19

Given, Depth (h1) of well = 14 m

Diameter of the circular end of the well =3 m

So, Radius (r1) = 3/2 m

Width of the embankment = 4 m

From the figure, it can be said that the embankment will be a cylinder having an outer radius (r2) as 4+(3/2) = 11/2 m and inner radius (r1) as 3/2m

Now, let the height of embankment be h2

∴ Volume of soil dug from well = Volume of earth used to form embankment

π×r12×h = π×(r22-r12) × h2

Solving this, we get,

The height of the embankment (h2) as 1.125 m.

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