WAEC 2011 Mathematics · Question 2

A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold?…

Question

A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take π=227\pi = \frac{22}{7}]

  1. A.11
  2. B.14
  3. C.16
  4. D.18

Answer: A. 11

Explanation written with AI and checked against the answer key

Analyze the question: We need the volume of a cylinder with r = 14 cm and h = 18 cm, then convert it to litres and round to the nearest litre.

Concept: Volume of a cylinder is V = πr²h, and 1 litre = 1000 cm³.

Solution:

V = (22/7) × 14 × 14 × 18

  • (22/7) × 14 = 44
  • 44 × 14 = 616
  • 616 × 18 = 11,088 cm³

Convert to litres:

11,088 ÷ 1000 = 11.088 litres ≈ 11 litres (to the nearest litre)

Tip: Always simplify by cancelling the 7 against one of the 14s first. This keeps the numbers small and cuts down on arithmetic errors. Also remember the conversion: 1000 cm³ = 1 litre.

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