Question
Download Solution PDFA copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.
Concept used:
Volume of sphere = 4/3πr3
Volume of cylinder = πr2h
Calculation:
Radius of sphere = 9 cm
Radius of wire = 0.3 cm [As 1 cm = 10 mm]
According to the question,
Volume of sphere = Volume of cylinder
⇒ 4/3π93 = π0.32x
⇒ 4/3 × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 cm = 108 m
∴ The length of the wire is 108 m.
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.