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Problem 10 - Entrance Test
A cone of height 9 cm and base radius 4 cm is melted to form a sphere. The radius of the sphere is
A. 3 cm
B. 4 cm
C. 5 cm
D. 6 cm
Check Answer
Show Solution
Correct: A
Volumes equal: (1/3)π(4²)(9) = (4/3)πr³ → 48 = 4r³ → r³=12 → r=∛12≈2.88. Closest 3 cm.