Rumus Luas Permukaan Bola Dan Contoh Soal

Latihan Soal Volume Bola Beserta Pembahasannya Rumus Luas Permukaan Bola Matematikawan Yunani Archimedes mendapatkan bahwa luas permukaan bola sama dengan luas permukaan lateral silinder yang mempunyai jari-jari sama dengan bola dan tingginya panjang diameter bola.

Sumber : ducksters.com

Berikut ini adaah rumus untuk menjumlah luas permukaan Bola :

Luas Permukaan Bola = 4 x π x r²

Keterangan

r = jari-jari
π = nilai konstanta (3,14 atau 22/7)

Contoh Soal Mencari Luas Permukaan Bola Soal No.1 Hitunglah luas permukaan bola dengan jari-jari 10 cm (π = 3,14) ? Pembahasan Luas Permukaan Bola = 4 x π x r²
Luas Permukaan Bola = 4 x 3,14 x 10²
Luas Permukaan Bola = 1256 cm²

Soal No.2 Carilah luas permukan Bola yang berjari-jari 5 inch (π = 3,14) dalam satuan cm² ? Pembahasan Luas Permukaan Bola = 4 x π x r²
Luas Permukaan Bola = 4 x 3,14 x 5²
Luas Permukaan Bola = 314 inch²

Konversi inch² ke cm², dimana :
1 inch² = 6,4516 cm²
314 inch² = 2025,8 cm²

Makara luas permukaan bola dalam satuan cm² yakni 2025,8 cm²

Soal No.3 Jika dimengerti luas permukaan suatu bola yakni 616 cm². Berapakah diameter bola tersebut ? Pembahasan Luas Permukaan Bola = 616 cm²

Luas Permukaan Bola = 4 x π x r²
616 = 4 x

22 / 7

x r²
616 x 7 = 4 x 22 x r²
4312 = 88r²
r² =

4312 / 88

= 49
r = 7 cm

d = 2r = 2(7) = 14 cm

Jadi diameter bola tersebut ialah 14 cm

Referensi 1.Nelson, Ken. “Kids Math: Finding the Volume and Surface Area of a Sphere.” Ducksters, Technological Solutions, Inc. (TSI), www.ducksters.com/kidsmath/finding_the_volume_surface_area_of_a_sphere.php. 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