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 Jul 8, 2025
-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.
-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.
-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies.
-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.
-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.