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The circular base of a drum has a circumference of 88 cm, and the drum is 15 cm tall. Find its volume. Use π = .

Class 8MensurationMensuration
  • A
  • B
  • C
  • D

Step-by-Step Solution

2π → cm. = π. Trap is the curved surface AREA, not a volume. Trap 36,: dropping the 2 from 2π gives cm. Trap : halving 14 once more to cm.
Answer: B)

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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