Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye da silinda

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda za a sami radius na wani yanki da ke kewaye da silinda na dama, da kuma yanayin samansa da ƙarar ƙwallon da ke daure da wannan fili.

Nemo radius na sphere/ball

Game da kowane daya za a iya kwatanta (ko a wasu kalmomi, shigar da silinda a cikin ball) - amma ɗaya kawai.

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye da silinda

  • Cibiyar irin wannan yanki zai zama tsakiyar silinda, a cikin yanayinmu yana da ma'ana O.
  • O1 и O2 su ne cibiyoyin tushe na Silinda.
  • O1O2 – Silinda tsawo (H).
  • OO1 = OO2 = h/2.

Ana iya ganin cewa radius na dawakai (SHIN KA), rabin tsayin silinda (OO1)  da radius na gindinsa (O1E) kafa triangle dama OO1E.

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye da silinda

Yin amfani da wannan za mu iya samun hypotenuse na wannan triangle, wanda kuma shi ne radius na sphere da aka kewaye game da silinda da aka bayar:

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye da silinda

Sanin radius na Sphere, zaka iya lissafin yanki (S) shimfidarsa da girma (V) Zauren da aka daure shi da wani yanki:

  • S = 4 ⋅ π ⋅ R2
  • S = ba 4/3 π ⋅ R3

lura: π zagaye daidai yake da 3,14.

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