Question
Download Solution PDFघन उजवी गोलाकार वृत्तचितीची सामग्री समान त्रिज्येच्या घन शंकूच्या आकारात रूपांतरित केली जाते. जर वृत्तचितीची उंची 8.8 सेमी असेल, तर शंकूची उंची आहे:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
वृत्तचितीची उंची= 8.8 सेमी
संकल्पना:
वृत्तचितीची सामग्री रूपांतरित केल्यावर तयार झालेल्या शंकूची उंची शोधणे आवश्यक आहे.
निरसन:
सामग्रीची घनफळ समान राहिल्यामुळे, आपण वृत्तचिती आणि शंकूच्या क्षेत्रफळाची समानता करू शकतो.
वृत्तचितीचे क्षेत्रफळ = शंकूचे क्षेत्रफळ
⇒ π × r2 × h_वृत्तचिती = (1/3) × π × r2 × h_शंकू
सामान्य अटी रद्द करणे:
⇒ h_वृत्तचिती = (1/3) × h_शंकू
वृत्तचितीची उंची 8.8 सेमी आहे हे लक्षात घेता, आपण शंकूची उंची शोधू शकतो:
⇒ h_शंकू = 3 × h_वृत्तचिती = 3 × 8.8 सेमी = 26.4 सेमी
म्हणून, शंकूची उंची 26.4 सेमी आहे.
Last updated on Jun 26, 2025
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