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उस गोले का आयतन ज्ञात कीजिए जिसका सम्पूर्ण पृष्ठ `452(4)/(7)` वर्ग सेमी है।

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प्रश्नानुसार गोले का सम्पूर्ण वक्रपृष्ठ `=452(4)/(7)`
`rArr 4pir^(2)=(3168)/(7)`
`rArr 4xx(22)/(7)xxr^(2)=(3168)/(7)`
`rArr r^(2)=(3168)/(88)=36`
`rArr r=6` सेमी
अतः गोले का अभीष्ट आयतन `=(4)/(3)pir^(3)=(4)/(3)xx(22)/(7)xx(6)^(3)`
`=905.14` घन सेमी

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