Question
Download Solution PDFFind the number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 12 cm and diameter 6 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Cylinder dimensions: Height = 12 cm, Diameter = 6 cm
Sphere diameter: 6 cm
Concept: Volume calculation and comparison.
Calculation:
Cylinder volume = πr2h = π3212 = 108π cm3
Sphere volume = 4/3πr3 = 4/3π33 = 36π cm3
Number of spheres = Cylinder volume/Sphere volume
108π/36π = 3
Hence, 3 solid spheres can be made.
Last updated on Jun 12, 2025
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