Diketahui sebuah bola yang * dimasukkan ke dalam tabung, tepat berimpit dengan alas dan tutup tabung tersebut. Jika diameter bola adalah 14 cm dan tinggi tabung 30 cm, berapakah volume ruang di dalam tabung tapi di luar bola? Tolong bantu soal di atas kak.. (beserta caranya).

<p>Soal ini ada yang salah, kalau bola berimpit dengan alas dan tutup tabung maka diameter bola = tinggi tabung. Artinya tinggi tabung sama dengan diameter bola, tetapi disini d = 14 cm, tinggi tabung = 30 cm. Jadi tidak nyambung....</p><p>&nbsp;</p><p>Saya akan bantu jawab dengan dua versi.</p><p><strong>Versi 1</strong> :&nbsp;</p><p>Bola berimpit dengan alas dan tutup tabung sehingga diameter bola = tinggi tabung.</p><p>&nbsp;</p><p>d = 14 cm</p><p>r = 14 /2 = 7 cm</p><p>t = 2r</p><p>𝞹 = 22/7</p><p>&nbsp;</p><p>Volume diluar bola = V. Tabung - V.Bola</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (𝞹r²t) - (4/3 𝞹r³)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (2𝞹r³) - (4/3 𝞹r³)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 𝞹r³ (2 - 4/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 . 7³ (6/3 - 4/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 . 343 (2/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1.078 (2/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 718,67 cm³</p><p>&nbsp;</p><p><strong>Versi 2 :&nbsp;</strong></p><p>diameter bola (d) = 14 cm&nbsp;</p><p>r = 7 cm</p><p>t = 30 cm</p><p>V. diluar bola = V. Tabung - V. bola</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (𝞹r²t) - (4/3 𝞹r³)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 𝞹r²(t - 4/3 r)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 .(7²) ( 30 - 4/3(7))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 154 (30 - 28/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 154 (90/3 - 28/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 154 (62/3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3.182,67 cm³</p>