Kutsvaga nzvimbo ye spherical layer

Muchinyorwa chino, isu tichatarisa mafomula anogona kushandiswa kuverenga nzvimbo yepasi yespherical layer (slice yebhora): spherical, mabhesi uye yakazara.

Tsanangudzo yedenderedzwa

Spherical layer (kana chidimbu chebhora) - ichi ndicho chikamu chasara pakati pendege mbiri dzakafanana dzichiipindira. Mufananidzo uri pazasi une ruvara rweyero.

• R ndiyo radius yebhora;
• r₁ ndiyo radius yechigadziko chekutanga chekucheka;
• r₂ ndiyo radius yechigadziko chechipiri chekucheka;
• h ndiko kureba kwedenderedzwa; perpendicular kubva pakati pechigadziko chekutanga kusvika pakati pechipiri.

Formula yekutsvaga nzvimbo ye spherical layer

spherical surface

Kuti uwane nzvimbo ye spherical surface ye spherical layer, unofanira kuziva radius yebhora, pamwe nekukwirira kwekucheka.

S_{spheres district} = 2πRh

Ground

Nzvimbo yezvigadziko zvechimedu chebhora yakaenzana nechigadzirwa chechikwere cheiyo radius inoenderana nenhamba. π.

S₁ =r₁²

S₂ =r₂²

Full surface

Iyo yakazara nzvimbo yedenderedzwa yakatsetseka yakaenzana nehuwandu hwenzvimbo dzayo dzakatenderera uye zvigadziko zviviri.

S_{dunhu rakazara} = 2πRh + πr₁² +πr₂² = π(2Rh + r₁² +r₂²)

Notes:

• kana panzvimbo yeradii (R, r₁ or r₂) kupihwa madhayamita (d), iyo yekupedzisira inofanira kupatsanurwa ne 2 kuti uwane iyo inodiwa radius values.
• nhamba kukosha π paunenge uchiita masvomhu, inowanzotenderedzwa kusvika kunzvimbo mbiri dzedesimali - 3,14.