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A closed cylindrical drum has a diameter of 28 cm and a height of 10 cm. Find the total surface area of the metal sheet used. Use π = .

Class 8MensurationMensuration
  • A
  • B
  • C
  • D

Step-by-Step Solution

Radius cm. TSA = 2π. Trap : putting the diameter 28 into the radius slot. Trap : the CSA 2π alone — a closed drum also needs its two circular ends. Trap : the two circular ends alone (2π).
Answer: D)

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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