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Page 1: batubara itungan

Diketahui 4 lapisan batubara (tua -- muda)Tebal Lapisan 1 = 5 M;Tebal Lapisan 2 = 3 M;Tebal Lapisan 3 = 2 M;Tebal Lapisan 4 = 1 M

01. Lapisan 1 Tinggi seluruh silinder = 5,750 MRadius seluruh silinder = 750 MV silinder Lap 1a = ½ .. r2 .t

= ½ (3.14) (750)2 (5750)= 5,077,968,750 M3

= 5.08 x 109 M3

Tebal batubara = 5 MTinggi dari selinder = 5,700 MRadius silinder setelah dikurangi tebal batubara = 750 – 5 = 745 MV silinder Lap 1b = ½ .. r2 .t

= ½ . 3,14 . (745) 2 . 5700= 4,966,918,725 M3

= 4.97 x 109 M3

V batubara Lap 1 = 5.08 x 109 M3 - 4.97 x 109 M3

= 0.11 M3

02. Lapisan 2 Tinggi silinder = 5,750 MRadius = 875 MV silinder 2a = ½ .. r2 .t

= ½ (3,14) (875)2 (5750)= 6,911,679,687.5 M3

= 6.91 x 109 M3

Tebal batubara = 3 MRadius silinder setelah dikurangi tebal batubara = 875 – 3 = 872 MTinggi = 5750 mV silinder 2b = ½ .. r2 .t

= ½ . 3,14 . (872)2 . 5750= 6864366560 M 3

V batubara Lap 2 = 6911679687.5 – 6864366560 M 3

= 47313127.5 M 3

03. Lapisan 3 Tinggi silinder = 5750 MRadius = 1375 MVsilinder 3A = ½ .. r2 .t

= ½ . 3,14 . (1375)2 . 5750= 17067617187.5 M 3

Tebal batubara = 2 MRadius silinder setelah dikurang tebal batubara = 1375 – 2 = 1373 MTinggi = 5750 MVsilinder 3b = ½ .. r2 .t

= ½ . 3,14 . (1373)2 . 5750= 17018002047.5 M 3

V batubara Lap 3 = 17067617187.5 - 17018002047.5

Page 2: batubara itungan

= 49615140 M 3

V batubara sebelah barat = 49615140 + 37197815 = 86812955 M 3

04. Untuk Lapisan 4 (tebal 1m) Sebelah Barat

Tinggi = 5750 MRadius = 125 M Vsilinder = ½ .. r2 .t

= ½ . 3,14 . (125)2 . 5750= 141054687.5 M 3

V silinder = ½ .. r2 .t= ½ . 3,14 . (124)2 . 5750= 138806840 M 3

V batubara = 2247847.5 M 3

Sebelah TimurTerdapat 2 ½ silinder

Tinggi = 2125 M Radius = 250 MVsilinder = ½ .. r2 .t

= ½ . 3,14 . (250)2 . 2125= 208515625 M3

V silinder = ½ .. r2 .t= ½ . 3,14 . (249)2 . 2125= 206850836.25 M 3

V batubara = 1664788.75 M 3

V tanpa batubaraTinggi = 2125 – 1 = 2124 MRadius = 250 – 1 = 249 MV batubara = ½ .. r2 .t

= ½ . 3,14 . (249)2 . 2124= 206753494.68 M 3

V batubara di Lap 4 (timur) = 1664788.75 M 3 x 2= 3329577.5 M 3

KesimpulanV batubara dalam basin = V1 + V2 + V3 + V4

= 252418321.25 M 3

Jadi berat batubara = 1,5 Kg/M3 x 252418321.25 M3

= 378627481.875 M 3


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