Umthamo wesibali sesphere

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Igalelo leradiyasi okanye ubude bedayamitha ukubala umthamo wesphere.

Izibali zomthamo

Esi sikhaltyhuleyitha esibala ngokukodwa umthamo wecandelo okanye ibhola , inkxaso yemetric kunye neeyunithi zobukhosi (i-intshi, iinyawo, iiyadi, mm, cm okanye imitha), kunye nesiphumo sevolumu sinokuguqulela kwiyunithi eyahlukileyo, kunye nefomula yokubala kunye nembonakalo eguqukayo. sphere, isinceda ukuba sifumane iimpendulo kwaye siqonde iziphumo ngokulula ngakumbi.

Usisebenzisa njani esi sikhalityhuleyitha ?

  1. Khetha ukusebenzisa i-diameter okanye iradiyasi ukubala umthamo.
  2. Faka ubude bedayamitha okanye iradiyasi
  3. Yamkela idecimals okanye iqhezu, umz. 3.4, 1.7, 5 1/4 okanye 3/5
  4. Khetha iyunithi yedayamitha okanye iradiyasi
  5. Khetha iyunithi yevolumu ongathanda ukuyazi
  6. Iya kubala ngokuzenzekelayo iziphumo kwaye iphendule ngokusebenzisana.
  7. Isiphumo sokubala siya kujikelezwa.

Indlela yokubala umthamo wesphere ?

Ingqukuva yinto yejiyometri engqukuva ngokugqibeleleyo ene-dimensional emithathu, enenqaku ngalinye kumphezulu olinganayo ukusuka kumbindi wayo. Izinto ezininzi ezisetyenziswa ngokuqhelekileyo ezifana neebhola okanye iiglowusi ziingqukuva. Ukuba ufuna ukubala umthamo wesphere, kufuneka ufumane iradius yayo kwaye uyixhume kwifomula elula,
V = 4⁄3πr³.

Ifomula yoMqulu weSphere

Ifomula yomthamo we-sphere yi-4/3 yamaxesha pi amaxesha eradius cubed. Ukuphinda-phinda inani lithetha ukuliphinda-phinda lodwa kathathu, kulo mzekelo, iradiyasi iphinda-phinda iradiyasi.

V = 4⁄3πr³
Umthamo wesphere = 4⁄3 × π × irediyasi × irediyasi
πngumlinganiselo wesangqa sesangqa ukuya kwidayamitha yaso

Umzekelo wokubala

Fumana umthamo wengqukuva eneradius 4 intshi.

Umthamo = 4⁄3π4³
4 ÷ 3 × 3.141592653589793 × 4 × 4 × 4 = 268.082573106329.
Emva kokusondeza, umthamo yi-268.08 cubic intshi.

Ukuba sifuna ukuguqula iiyunithi zevolumu zibe ziiyunithi ezahlukeneyo, sinokuguqula iiyunithi zerediyasi zibe yivolyum efanayo kuqala,
umzekelo,
ingqukuva eneradiyasi yee-intshi ezili-9.
Ingaba ithini ivolyum kwi-ft³?

irediyasi 9 kwi = 9 ÷ 12 ft = 0.75 ft Umthamo = 4⁄3π0.75³
4 ÷ 3 × 3.141592653589793 × 0.75 × 0.75 × 0.75 = 1.7671458676442584
emva kokujikeleza, umthamo yi-1.77 cubic feet.

Ukuba sinenani ledayamitha kuphela, isiqingatha sedayamitha yiradiyasi, sahlulahlule nje ububanzi ngo-2, kwaye siya kuba neradiyasi.