A well with inner radius 4 m is dug 14 m deep. Earth taken out of it has been spread evenly all around a width of 3 m it to form an embankment. Find the height of the embankment.

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Solution

The inner radius of the well is 4m and the height is 14m. Therefore, the volume of the Earth taken out of it is

The inner and outer radii of the embankment are 4m and 4+3=7m respectively. Let the height of the embankment be h. Therefore, the volume of the embankment is

Since, the volume of the well is same as the volume of the embankment; we have

Hence, the height of the embankment is

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