ECZ 2015 · O-Level Paper 1 — Similarity and Congruency
Two cylindrical mugs are geometrically similar. The smaller mug has diameter 8 cm and holds 125 cm³ of a liquid. If the larger mug holds 1000 cm³ of a liquid, find its diameter.
- A. 16 cm
- B. 64 cm
- C. 24 cm
- D. 12 cm
Verified working — step 1
Volume ratio = 1000125= 8, so the length ratio = ∛8 = 2. Diameter = 8 × 2 = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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