A well of diameter 14 m is dug 10 m deep. The earth taken out is spread evenly all around the well to form a ring-shaped embankment of width 3.5 m. Find the height of the embankment in m. Take π = 22/7.

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Accepted Answer

8. Earth dug out = (22/7) × 7² × 10 = 1540 m³. The embankment is a ring with inner radius 7 m and outer radius 7 + 3.5 = 10.5 m, so its base area = (22/7)(10.5² − 7²) = (22/7)(110.25 − 49) = (22/7) × 61.25 = 192.5 m². Height = 1540 ÷ 192.5 = 8 m.

A well of diameter 14 m is dug 10 m deep. The earth taken out is spread evenly all around the well to form a ring-shaped embankment of width 3.5 m. Find the height of the embankment in m. Take π = 22/7.

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