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A hall has 12 cylindrical pillars, each of radius 0.35 m and height 5 m. Painting the curved surface of the pillars costs ₹40 per square metre. Find the total painting cost. Use π = .

Class 8MensurationMensuration
  • A₹440
  • B₹2,640
  • C₹5,280
  • D₹10,560

Step-by-Step Solution

One pillar: CSA = 2πrh . Twelve pillars = . Cost = = ₹5,280. Trap ₹440: costing a single pillar and forgetting the other eleven. Trap ₹2,640: dropping the 2 from 2πrh each). Trap ₹10,560: using the diameter 0.7 m in the radius slot.
Answer: C) ₹5,280

Key idea: Surface area and volume of a cylinder

A cylinder is a circle stacked vertically. Two measurements: radius and height .

**Curved surface area (CSA) = 2π** (imagine 'unrolling' the curved surface — it becomes a rectangle of width 2π and height h).

**Total surface area (TSA) = 2πππ** (curved surface + two circular ends).

**Volume = π** (area of circular base × height).

Use π = 22/7 when is a multiple of 7; otherwise π ≈ 3.14.

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