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A road roller is 2.1 m long and has a diameter of 1.4 m. How many complete revolutions must it make to level a playground measuring 110 m by 63 m? (Use π = 22/7.)

Competition practiceMensuration
  • A750
  • B1500
  • C375
  • D4500

Step-by-Step Solution

One revolution flattens a strip equal to the roller's curved surface, 2πrh = sq m. The playground is sq m, so the count = 6930/9.24 = 750. The trap 1500 drops the 2 and uses πrh; 375 uses the diameter 1.4 m as the radius; 4500 uses the circular end face π sq m instead of the curved surface, but it is the curved surface that touches the ground.
Answer: A) 750

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