Question
Download Solution PDFयदि एक गोले का आयतन 24,416.64 सेमी3 है, तो इसका पृष्ठीय क्षेत्रफल दशमलव के दो स्थानों तक सही ज्ञात कीजिए। (π = 3.14 लीजिए)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक गोले का आयतन 24,416.64 सेमी3 है।
प्रयुक्त अवधारणा:
एक गोले का आयतन = 4/3πr3
एक गोले का पृष्ठीय क्षेत्रफल = 4πr2
यहाँ,
r = त्रिज्या
गणना:
4/3πr3 = 24416.64
⇒ r3 = 24416.64 × (3/4) × 1/3.14
⇒ r3 = 5832
⇒ r = 18
अब,
पृष्ठीय क्षेत्रफल = 4 × 3.14 × 182
⇒ 12.56 × 324
⇒ 4069.44 सेमी2
∴ पृष्ठीय क्षेत्रफल 4069.44 सेमी2 है।
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