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A cylindrical tank of radius 1.4 m and height 2 m is filled by a pipe that delivers 40 litres of water per minute. How long does it take to fill the tank? Use π = and L.

Class 8MensurationMensuration
  • A30.8 minutes
  • B77 minutes
  • C308 minutes
  • D12,320 minutes

Step-by-Step Solution

= π L. Time = 12,320 ÷ 40 = 308 minutes. Trap 12,320 minutes: reading the litres as minutes and forgetting to divide by the flow rate. Trap 77 minutes: treating 1.4 m as the diameter and using m. Trap 30.8 minutes: converting to 1232 L instead of 12,320 L.
Answer: C) 308 minutes

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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