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The curved surface area of a cylindrical pillar is and its radius is 3 m. Find its height. Use π = .

Class 8MensurationMensuration
  • A14 m
  • B28 m
  • C7 m
  • D11 m

Step-by-Step Solution

CSA = 2π → , so m. Trap 11 m: using the TOTAL surface area formula 2π, which gives — but the question asks only about the curved surface. Trap 28 m: dropping the 2 from 2π. Trap 7 m: using the diameter 6 m in the radius slot.
Answer: A) 14 m

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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