Ke ʻimi nei i kahi o ka papa spherical

Ma kēia paʻi ʻana, e noʻonoʻo mākou i nā ʻōkuhi i hiki ke hoʻohana ʻia no ka helu ʻana i ka ʻili o kahi papa spherical (ʻāpana o ka pōleʻa): spherical, bases a me ka huina.

Wehewehe ʻana o kahi papa pōʻai

Papa pōʻai (a i ʻole ʻāpana o ka pōleʻa) – ʻo ia ka ʻāpana i koe ma waena o ʻelua mau mokulele like e hui ana. He melemele ke kiʻi ma lalo.

• R 'o ia ka radius o ka poepoe;
• r₁ ʻo ia ka radius o ke kumu ʻoki mua;
• r₂ ʻo ia ka radius o ke kumu ʻoki ʻelua;
• h ke kiekie o ka papa poepoe; pololei mai ke kikowaena o ke kumu mua a i ke kikowaena o ka lua.

Formula no ka huli ʻana i kahi o kahi papa spherical

ili poepoe

No ka ʻike ʻana i ka ʻāpana o ka spherical surface o ka spherical layer, pono ʻoe e ʻike i ka radius o ka pōpō, a me ke kiʻekiʻe o ka ʻoki.

S_{spheres district} = 2πRh

Nā kuʻuna

ʻO ka ʻāpana o nā kumu o ka ʻāpana o ka pōleʻa ua like ia me ka huahana o ka huinahā o ka radius pili e ka helu. π.

S₁ =r₁²

S₂ =r₂²

ʻili piha

Ua like ka huina o ka ili o kahi papa spherical me ka huina o na wahi o kona ili spherical a me na kumu elua.

S_{apana piha} = 2πRh + πr₁² +πr₂² = π(2Rh + r₁² +r₂²)

Notes:

• ina ma kahi o ka radii (ʻO R, r₁ or r₂) hāʻawi ʻia nā anawaena (d), pono e puunaueia ka hope me 2 no ka imi ana i na koina radius i makemakeia.
• helu helu π i ka wā e hoʻohelu ai, hoʻopuni mau ʻia i ʻelua mau wahi decimal - 3,14.