Question
Download Solution PDFगोलार्धातील एकूण पृष्ठफळ 41.58 सेमी2 आहे. समान त्रिज्येसह गोलाचे एकूण पृष्ठफळ काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
गोलार्धाचे एकूण पृष्ठफळ = 41.58 सेमी2
गोलार्धाची त्रिज्या = गोलाची त्रिज्या.
वापरलेले सूत्र:
गोलार्धाचे एकूण पृष्ठफळ = 3πr2
गोलाचे एकूण पृष्ठफळ = 4πr2
गणना:
गोलार्धाचे एकूण पृष्ठफळ 41.58 सेमी2 आहे
⇒ 3πr 2 = 41.58
⇒ r2 = 41.58 / 3π
गोलार्धाची त्रिज्या गोलाच्या समान असल्याने.
⇒ गोलाचे एकूण पृष्ठफळ = 4πr 2
वरील r2 चे मूल्य वापरून
⇒ गोलाचे एकूण पृष्ठफळ= 4π × (41.58 / 3π)
⇒ गोलाचे एकूण पृष्ठफळ = 4 × 13.86
⇒ गोलाचे एकूण पृष्ठफळ= 55.44
∴ गोलाचे एकूण पृष्ठफळ 55.44 सेमी2 आहे.
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