Question
Download Solution PDFएक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 616 cm2 है और इसके आधार का क्षेत्रफल 38.5 cm2 है। बेलन का आयतन (cm3 में) कितना है? (π =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 616 cm2 है।
इसके आधार का क्षेत्रफल 38.5 cm2 है।
प्रयुक्त सूत्र:
वक्र पृष्ठीय क्षेत्रफल (CSA) = 2πrh
आधार का क्षेत्रफल = πr2
आयतन = πr2h
गणना:
CSA = 616 cm2
⇒ 2πrh = 616
⇒ 2 × (22/7) × r × h = 616
⇒ rh = 616 × 7 / 44 = 98
आधार का क्षेत्रफल = 38.5 cm2
⇒ πr2 = 38.5
⇒ (22/7) × r2 = 38.5
⇒ r2 = 12.25
⇒ r = √12.25 = 3.5 cm
अब, rh = 98
⇒ 3.5h = 98
⇒ h = 28 cm
आयतन = πr2h
⇒ आयतन = (22/7) × (3.5)2 × 28
⇒ आयतन = (22/7) × 12.25 × 28
⇒ आयतन = 1078 cm3
∴ सही उत्तर विकल्प 1 है।
Last updated on Jul 16, 2025
-> The Railway RRB Technician Notification 2025 have been released under the CEN Notification - 02/2025.
-> As per the Notice, around 6238 Vacancies is announced for the Technician 2025 Recruitment.
-> A total number of 45449 Applications have been received against CEN 02/2024 Tech Gr.I & Tech Gr. III for the Ranchi Region.
-> The Online Application form for RRB Technician is open from 28th June 2025 to 28th July 2025.
-> The Pay scale for Railway RRB Technician posts ranges from Rs. 19900 - 29200.
-> Prepare for the exam with RRB Technician Previous Year Papers.
-> Candidates can go through RRB Technician Syllabus and practice for RRB Technician Mock Test.