Mathematics

Mathematics

Problem

A cylindrical roller used for compacting a road has radius 25 cm25\,\text{cm}. a. (i) Find the length of road surface that will be covered in exactly 10001000 complete revolutions of the roller. b. (ii) The roller is required to compact an entire straight stretch 5 km5\,\text{km} long. Determine the number of complete revolutions needed. c. (iii) The contractor is paid \text{₹}12 for every 500500 revolutions of the roller. Calculate the total amount payable for compacting the full 5 km5\,\text{km} stretch.

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