Question

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If the circumference of a conical wooden piece is 484 cm then find its volume when
its height is 105 cm​

Answer 1

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Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• Circumference of conical piece = 484cm

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• Height of the conical piece = 105cm

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$\sf{\bold{\green{\underline{\underline{To\: Find}}}}}$

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• Volume of the conical piece ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let the radius of the conical piece be 'r'

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$\sf{\red{\boxed{\bold{Circumference = 2\pi r}}}}$

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484 = 2 × 22/7 × r

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484 = 44 × r

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484/7 = 44 × r

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3388/44 = r

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1694/22 = r

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847/11 = r

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77 = r

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Radius = 77cm

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$\sf{\red{\boxed{\bold{Volume = \dfrac{1}{3}\times\pi \times r^2 \times h }}}}$

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Volume = 1/3 πr²h

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Volume = 1/3 × 22/7 × (77)² × 105

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Volume = 22/7 × 5929 × 35

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Volume = 22 × 847 × 35

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Volume = 652190cm³

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Volume = 652190 cm³

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Volume of the conical piece is 652190 cm³