Question

A well 20m in diameter is dug 18m deep and earth taken out is spread all around it to a width of 5m to form an embankment. What is the height of the embankment?

Answer 1

Answer:14.4

Step-by-step explanation:let the radius of the well be r=20/2 m

Heigjt h =18m

Volume of earth dug out = pi×10*10*18

Voulme of earth dug out = Voulme of the embankment

So we get

Pi*R2H-pi*r2h

By substituting and solving we get h=14.4

Answer 2

The height of the embankment is 8 m

Step-by-step explanation:

Diameter of well = 20 m

Radius of well r =$\frac{20}{2}=10 m$

Depth of well = 18 m

Outer radius R = 10 m + 5 m = 15 m

Let the height of embankment be H

Volume of well = Volume of embankment

$\pi r^2 h = \pi R^2 H$

$\pi (10)^2 (18)=\pi (15)^2 H$

$(10)^2 (18)=(15)^2 H$

$\frac{(10)^2 (18)}{(15)^2} = H$

8 = H

Hence The height of the embankment is 8 m

#Learn more:

A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around to a width of 5m to form an embankment. Find the height of embankment?

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