একটি ডান বৃত্তাকার শঙ্কুর আয়তন যার ভূমির ব্যাসার্ধ তার উচ্চতার এক তৃতীয়াংশের সমান এবং একটি গোলকের আয়তন সমান। শঙ্কুর ব্যাসার্ধের সাথে গোলকের ব্যাসার্ধের অনুপাত হল:

This question was previously asked in
RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
View all RRB ALP Papers >
  1. ∛(3): ∛2
  2. 1 : 1
  3. ∛(4): 1
  4. ∛4 : ∛3

Answer (Detailed Solution Below)

Option 4 : ∛4 : ∛3
Free
General Science for All Railway Exams Mock Test
20 Qs. 20 Marks 15 Mins

Detailed Solution

Download Solution PDF

শঙ্কুর আয়তন = (1/3)πr2h

⇒ r = h/3

⇒ শঙ্কুর আয়তন = πr3

গোলকের আয়তন = (4/3)πR3

⇒ শঙ্কুর আয়তন = গোলকের আয়তন

⇒ r3 = (4/3) R3

∴ শঙ্কুর ব্যাসার্ধ/ গোলকের ব্যাসার্ধ = ∛4 : ∛3

Latest RRB ALP Updates

Last updated on Jun 11, 2025

-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.

-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in

-> Railway Recruitment Board activated the RRB ALP application form 2025 correction link, candidates can make the correction in the application form till 31st May 2025. 

-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.

-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.

-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.

->The candidates must have passed 10th with ITI or Diploma to be eligible for this post. 

->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.

-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways. 

-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.

-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here

More Mensuration Questions

Hot Links: teen patti gold real cash teen patti joy mod apk teen patti star login teen patti gold apk download