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एक गोले के आयतन व वक्रपृष्ठ के मान बराबर है। उस सबसे छोटे बेलन का आयतन ज्ञात कीजिए जिसके अन्दर यह गोला पूर्णतया रखा जा सके ।

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एक गोले के आयतन व वक्रपृष्ठ के मान बराबर है। उस सबसे छोटे बेलन का आयतन ज्ञात कीजिए जिसके अन्दर यह गोला पूर्णतया रखा जा सके ।
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प्रश्नानुसार गोले का आयतन = गोले का वक्रपृष्ठ
`:. (4)/(3)pir^(3)= 4pir^(2)`
`:. r=3` इकाई
`:. H=2xx=6` इकाई
अब बेलन का आयतन `=pir^(2)h`
`=pi(3)^(2)xx6=54pi` घन इकाई
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