Question
Download Solution PDFएक गोले के आयतन और उसके परिगत लंब वृत्तीय बेलन के आयतन का अनुपात है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक गोले के आयतन और उसके परिगत लंब वृत्तीय बेलन के आयतन का अनुपात ज्ञात कीजिए।
प्रयुक्त सूत्र:
गोले का आयतन = \(\dfrac{4}{3}\pi r^3\)
परिगत लंब वृत्तीय बेलन का आयतन = \(\pi r^2 \times 2r\)
गणना:
गोले का आयतन = \(\dfrac{4}{3}\pi r^3\)
बेलन का आयतन = \(\pi r^2 \times 2r = 2\pi r^3\)
⇒ अनुपात = \(\dfrac{\dfrac{4}{3}\pi r^3}{2\pi r^3}\)
⇒ अनुपात = \(\dfrac{\dfrac{4}{3}}{2}\)
⇒ अनुपात = \(\dfrac{2}{3}\)
∴ सही उत्तर विकल्प (3) है।
Last updated on Jun 30, 2025
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