Ukuthola irediyasi/indawo/ivolumu yendilinga (ibhola) ezungezwe isilinda

Kulolu shicilelo, sizocubungula indlela yokuthola irediyasi yendilinga ezungezwe isilinda esingakwesokudla, kanye nendawo yayo engaphezulu kanye nevolumu yebhola eboshwe yilo mkhakha.

Ukuthola indawo engaba yindilinga/ibhola

Cishe noma iyiphi ingachazwa (noma ngamanye amazwi, faka isilinda ebholeni) - kodwa eyodwa kuphela.

Ukuthola irediyasi/indawo/ivolumu yendilinga (ibhola) ezungezwe isilinda

  • Isikhungo se-sphere enjalo sizoba yisikhungo se-cylinder, kithi siyiphuzu O.
  • O1 и O2 ziyizikhungo zezisekelo ze-cylinder.
  • O1O2 - ukuphakama kwesilinda (H).
  • OO1 = OO2 = h/2.

Kuyabonakala ukuthi i-radius ye-circumscribed sphere (UNGU), isigamu sobude besilinda (OO1)  kanye ne-radius yesisekelo salo (O1E) yakha unxantathu ongakwesokudla OO1E.

Ukuthola irediyasi/indawo/ivolumu yendilinga (ibhola) ezungezwe isilinda

Ngokusebenzisa lokhu singathola i-hypotenuse yalo nxantathu, okuphinde kube yirediyasi yendilinga ezungezwe mayelana nesilinda esinikeziwe:

Ukuthola irediyasi/indawo/ivolumu yendilinga (ibhola) ezungezwe isilinda

Ukwazi i-radius ye-sphere, ungakwazi ukubala indawo (S) ubuso nomthamo wayo (V) Indilinga eboshwe yindilinga:

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

Qaphela: π ukuzungeza kulingana no-3,14.

shiya impendulo