Question

A well with 7 m diameter is dug 18 m deep. The earth taken out of it has been evenly spread all around
it to a width of 10.5 m to form an embankment. Find the height of the embankment.
​

Answer 1

Answer:

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 m220=10m

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 Hπr2h=πR2H

\pi (10)^2 (18)=\pi (15)^2 Hπ(10)2(18)=π(15)2H

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

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

8 = H

Hence The height of the embankment is 8 m