Question
Download Solution PDFThe outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm. What is the volume of the metal used for the shell? (π = \(\frac{22}{7}\))
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm.
Formula Used :
Volume of sphere = 4/3πr3
Calculation :
Volume of the metal used = Voulme of outer surface - Volume of inner surface
⇒ 4/3π[133 - 103]
⇒ 4/3π[2197 - 1000]
⇒ 4/3π[1197]
⇒ 4/3 × 22/7 × 1197
⇒ 4/3 × 22 × 171
⇒ 4 × 22 × 57
⇒ 5016 cm3
∴ The correct answer is 5016 cm3.
Last updated on Jun 30, 2025
-> As per the notice published on 30th June 2025, the Staff Selection Commission has announced an extension for the application form correction window. Candidates can now make the required changes in their applications until 1st July 2025.
-> SSC MTS Notification 2025 has been released by the Staff Selection Commission (SSC) on the official website on 26th June, 2025.
-> For SSC MTS Vacancy 2025, a total of 1075 Vacancies have been announced for the post of Havaldar in CBIC and CBN.
-> As per the SSC MTS Notification 2025, the last date to apply online will be 24th July 2025 as per the SSC Exam Calendar 2025-26.
-> The selection of the candidates for the post of SSC MTS is based on Computer Based Examination.
-> Candidates with basic eligibility criteria of the 10th class were eligible to appear for the examination.
-> Candidates must attempt the SSC MTS Mock tests and SSC MTS Previous year papers for preparation.