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 ]
- A.11
- B.14
- C.16
- 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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