Teladan Soal Volume Tabung Dan Luas Permukaan Tabung

Rumus mencari luas permukaan tabungUnsur – bagian tabung Berikut ini yakni rumus-rumus yang digunakan pada bangun ruang tabung baik dalam mencari volume tabung maupun luas permukaan tabung : 1. Rumus Volume Tabung

Volume Tabung = π x r² x t

Keterangan :

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

2. Rumus Luas Permukaan Tabung

Luas Permukaan Tabung = 2πr(r + t)

Contoh Soal Volume dan Luas Permukaan Tabung Soal No.1 Hitunglah volume dan luas permukaan suatu tabung bila dimengerti jari-jarinya 7 cm dan tinggi 10 cm ? Pembahasan jari-jari (r) = 7 cm
tinggi (t) = 10 cm

Menghitung Volume Tabung
Volume Tabung = π x r² x t
Volume Tabung =

22 / 7

x 7² x 10
Volume Tabung =

22 / 7

x 490
Volume Tabung = 1.540 cm³

Menghitung Luas Permukaan Tabung
Luas Permukaan Tabung = 2πr(r + t)
Luas Permukaan Tabung = 2

22 / 7

x 7(7 + 10)
Luas Permukaan Tabung = 2

22 / 7

x 7(17)
Luas Permukaan Tabung = 748 cm²

Soal No.2 Sebuah toples plastik berbentuk tabung memiliki tinggi 80 cm dan diameter 28. Berapaka volume toples plastik tersebut ? Pembahasan tinggi (t) = 80 cm
diameter (d) = 1/2 r = 14 cm

Volume Toples Plastik = π x r² x t
Volume Toples Plastik=

22 / 7

x 14² x 80
Volume Toples Plastik = 49.280 cm³

Soal No.3 Carilah tinggi sebuah tabung kalau dikenali volume tabung 4710 cm³ dengan jari-jari 10 cm (π = 3,14) ? Pembahasan Volume tabung = 4710 cm³
jari-jari(r) = 10 cm

Volume Tabung = π x r² x t
4710 = 3,14 x 10² x t
314t = 4710
t =

4710 / 314

= 15 cm

Dengan demikian tinggi tabung = 15 cm

Soal No.4 Sebuah tabung mempunyai jari jari 15 mm dan panjang 7 mm. Berapakah volume dan luas tabung tersebut (π = 3,14) ? Pembahasan jari-jari (r_) = 15 mm
tinggi (t) = 7 mm

Volume Tabung = π x r² x t
Volume Tabung = 3,14 x 15² x 7
Volume Tabung = 4.945,5 cm³

Soal No.5 Berapa volume sebuah tabung dalam satuan liter kalau dimengerti jari-jarinya 10 cm dan tinggi 36 cm.(π = 3,14) ? Pembahasan jari-jari (r) = 10 cm
tinggi (t) = 36 cm

Volume Tabung = π x r² x t
Volume Tabung = 3,14 x 10² x 36
Volume Tabung = 3,14 x 10² x 36
Volume Tabung = 11304 cm³

Konversi cm³ ke liter, dimana :
1 cm³ = 0,001 liter, sehingga :
11304 cm³ = 11304 x 0,001 liter = 11,304 liter

Jadi Volume Tabung yaitu 11,304 liter

Soal No.6 Sebuah drum berbentuk tabung memiliki ukuran tinggi dan diameter yang sama,ialah 56 dm. Hitunglah volume drum tersebut kalau diisi air hingga penuh ? Pembahasan diameter(d) = 56 dm
tinggi(t) = 56 dm
jari-jari(r) = 1/2 x d = 1/2 x 56 dm = 28 dm

Volume Drum = π x r² x t
Volume Drum =

22 / 7

x 28² x 56
Volume Drum = 137.984 dm³

Soal No.7 Carilah luas permukaan tabung jika diketahui luas ganjal tabung = 154 cm² dan luas selimutnya = 440 cm² ? Pembahasan Luas Alas = 154 cm²
Luas Tutup = Luas Alas = 154 cm²
Luas Selimut = 440 cm²

Luas Permukaan Tabung = Luas Alas + Luas Tutup + Luas Selimut
Luas Permukaan Tabung = 154 + 154 + 440
Luas Permukaan Tabung = 748 cm²

Soal No.8 Hitunglah volume suatu tabung kalau dikenali diameter 20 cm dan tinggi nya 12 cm (π = 3,14) ? Pembahasan diameter (d) = 20 cm
jari-jari (r) = 1/2 d = 10 cm
tinggi (t) = 12 cm

Volume Tabung = π x r² x t
Volume Tabung = 3,14 x 10² x 12
Volume Tabung = 3.768 cm³

Soal No.9 Tentukan volume dan luas selimut tabung jikalau di ketahui diameter bidang bantalan tabung 14 cm dan tinggi 10 cm ? Pembahasan diameter (d) = 14 cm
jari-jari (r) = 1/2d = 7 cm
tinggi (t) = 10 cm

Volume Tabung = π x r² x t
Volume Tabung =

22 / 7

x 7² x 10
Volume Tabung = 1.540 cm³

Luas Selimut Tabung = 2 x π x r x t
Luas Selimut Tabung = 2 x

22 / 7

x 7 x 10
Luas Selimut Tabung = 440 cm²

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