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Hitunglah luas permukaan tabung jika tinggi tabung 10 cm dan keliling alasnya 88 cm!

Rani Maharani

Soal

Pembahasan

DIKETAHUI:

Tinggi tabung = 10 cm
Keliling alas = 88 cm

DITANYAKAN: Luas permukaan tabung

RUMUS:

Luas permukaan tabung = 2πrh + 2πr^2
r = radius alas
h = tinggi tabung

Penyederhanaan cara menghitung:

Diketahui keliling alas tabung = 88 cm. Dalam hal ini, keliling adalah 2πr, sehingga:

2πr = 88 cm
r = 14 cm / π

Masukkan nilai r dan h ke dalam rumus:

Luas permukaan tabung = 2π(14/π)(10) + 2π(14/π)^2
Luas permukaan tabung = 280 + 196π
Luas permukaan tabung = 2.112 cm²

Jadi, luas permukaan tabung adalah 2.112 cm².

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