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A circus tent is cylindrical up to a height of 3 m and conical above that. Its base diameter is 105 m and the slant height of the conical part is 53 m. What is the cost of the canvas needed for the tent at ₹5 per square metre? (Use π = 22/7.)

Competition practiceMensuration
  • A₹48675
  • B₹43725
  • C₹4950
  • D₹92400

Step-by-Step Solution

The radius is 52.5 m. The cylindrical wall is 2πrh = sq m and the conical roof is πrl = sq m. Canvas = 990 + 8745 = 9735 sq m, costing = ₹48675. The trap ₹43725 covers only the cone and ₹4950 only the cylinder; ₹92400 uses 2πrl for the cone, doubling its curved surface with a cylinder's formula. No base is needed, as the tent stands on the ground.
Answer: A) ₹48675

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