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A well of internal diameter 14 m is dug 12 m deep. The earth taken out is spread evenly all around the well to form an embankment 7 m wide. What is the height of the embankment, in metres? (Use π = 22/7.)

Competition practiceMensuration
  • A3
  • B12
  • C4
  • D16

Step-by-Step Solution

Earth dug out = π cubic m. The embankment is a ring stretching from m to m, of area π sq m, so the height = 1848/462 = 4 m. The trap 3 spreads the earth over the whole outer circle of 616 sq m, forgetting that the well itself occupies the middle; 12 uses π sq m, squaring the width instead of taking the ring; 16 uses 14 m as the well's radius.
Answer: C) 4

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