Question
Download Solution PDF7 सेमी त्रिज्येच्या एका सिलिंडरचे वक्र पृष्ठफळ 2200 सेमी2 आहे. त्याचे एकूण पृष्ठफळ काढा. (π = 22/7 वापरा)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
वृत्तचितीची त्रिज्या, r = 7 सेमी.
वक्र पृष्ठफळ, CSA = 2200 सेमी2.
वापरलेले सूत्र:
वक्र पृष्ठफळ (CSA) = 2πrh
एकूण पृष्ठफळ (TSA) = 2πr(r + h)
गणना:
दिलेले CSA = 2200 सेमी2
आपल्याला माहित आहे CSA = 2πrh
π = 22/7 वापरून
⇒ 2200 = 2 x (22/7) x 7 x h
⇒ 2200 = 2 x 22 x h
⇒ 2200 = 44h
⇒ h = 2200 / 44
⇒ h = 50 सेमी
आता, TSA = 2πr(r + h)
⇒ TSA = 2 x (22/7) x 7 x (7 + 50)
⇒ TSA = 2 x 22 x (57)
⇒ TSA = 44 x 57
⇒ TSA = 2508 सेमी2
वृत्तचितीचे एकूण पृष्ठफळ 2508 सेमी2 आहे.
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