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A verandah is held up by identical cylindrical pillars, each 3.5 m tall and 0.4 m in diameter. Only the curved surfaces were painted, and the painted area came to in all. How many pillars are there? Take π = 22/7.

Competition practiceAreas & Volumes
  • A7
  • B28
  • C44
  • D14

Step-by-Step Solution

One pillar's radius is 0.2 , so its curved surface = 2πrh = . The number of pillars = 61.6/4.4 = 14. (Using the diameter 0.4 as the radius doubles each pillar to and gives 7; using πrh instead of 2πrh halves it to and gives 28; dividing 61.6 by the bare product gives 44 and skips π altogether.)
Answer: D) 14

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