Question
Download Solution PDFएक ठोस बेलन का आयतन 5852 सेमी3 है और इसकी ऊँचाई 38 सेमी है। ठोस बेलन का कुल पृष्ठीय क्षेत्रफल क्या है? (अपने उत्तर को निकटतम पूर्णांक तक पूर्णांकित करें)
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
बेलन का आयतन (V) = 5852 सेमी3
बेलन की ऊँचाई (h) = 38 सेमी
प्रयुक्त सूत्र:
बेलन का आयतन =
ठोस बेलन का कुल पृष्ठीय क्षेत्रफल =
जहाँ r = त्रिज्या
गणनाएँ:
सबसे पहले, आयतन सूत्र का उपयोग करके त्रिज्या (r) ज्ञात कीजिए:
V =
5852 =
⇒ r2 =
⇒ r2 =
⇒ r2 = 49
⇒ r =
⇒ r = 7 सेमी
अब, बेलन का कुल पृष्ठीय क्षेत्रफल (TSA) ज्ञात कीजिए:
TSA =
⇒ TSA =
⇒ TSA =
⇒ TSA =
⇒ TSA = 1980 सेमी2
इसलिए, ठोस बेलन का कुल पृष्ठीय क्षेत्रफल 1980 सेमी2 है।
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