Question
Download Solution PDFएका दंडगोलाची त्रिज्या आणि उंची 7 ∶ 13 या प्रमाणात आहे आणि त्याचे आकारमान 6006 सेमी3 आहे. त्याची त्रिज्या असेल:
(π =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्यापर्माणे:
एका दंडगोलाची त्रिज्या आणि उंची यांचे प्रमाण 7:13 आहे आणि त्याचे आकारमान 6006 सेमी³ आहे.
π = 22⁄7
वापरलेले सूत्र:
एका दंडगोलाचे आकारमान = πr²h
गणना:
त्रिज्या ७x आणि उंची १३x समजा.
आकारमान = πr²h
⇒ 6006 = (22⁄7) × (7x)² × 13x
⇒ 6006 = (22⁄7) × 49x² × 13x
⇒ 6006 = (22 × 49 × 13)⁄7 × x³
⇒ 6006 = 2002x³
⇒ x³ = 6006 ÷ 2002 = 3
⇒ x = ∛3
आता, त्रिज्या = 7x = 7 × ∛3 = 7 × 3
∴ योग्य उत्तर 7 × 3
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