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Two cylinders have the same height. Cylinder A has radius 3 cm and cylinder B has radius 6 cm. How many times is the volume of B compared to A?

Class 8MensurationMensuration
  • A2 times
  • B3 times
  • C4 times
  • D6 times

Step-by-Step Solution

Volume = πh. With the same height, volume depends on . Since doubles (3 → 6), becomes 4 times, so B's volume is 4 times A's.
Answer: C) 4 times

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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