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IKMC 2027 - Grades 9-10 - Self-study SET 9 - Thematic Batch 3 Question 3

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 9 - Thematic Batch 3

Question 3

Goldsmith David has a solid gold cube of side 5 cm and a solid gold cylinder of height 1 dm and base diameter 5 cm. He melts both to make gold spheres of diameter 2 cm. What is the greatest number of such spheres he can make?

Original options (preserved):
A. 7
B. 8
C. 9
D. 10
E. 11

Editorial note: Retain the stated diameters, find the correct maximum, and explain the discrepancy with the options. The rubric is editorial.

Question illustration