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A sector of radius 10.5 cm with the cent...

A sector of radius 10.5 cm with the central angle `120^@` is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in `cm^3` ) of the cone so formed ?
10.5 सेमी त्रिज्या वाला एक वृत्त खंड है जिसका केंद्रीय कोण `120^@` है | इसे मोड़कर वृत्त खंड की दो सीमांकन त्रिज्याओं को जोड़ कर एक शंकु का निर्माण किया जाता है | इस प्रकार निर्मित शंकु का आयतन ( घन सेमी में) क्या होगा ?

A

`(343 sqrt2)/6 pi`

B

`(343 sqrt3)/6 pi`

C

`(343 sqrt3)/12 pi`

D

`(343 sqrt2)/12 pi`

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