Diketahui dalam soal bahwa antar bangun ruang adalah sebangun, artinya perbandingan antara jari-jari, tinggi, dan garis pelukis pada tiap bangun ruang adalah sama
![begin mathsize 14px style r subscript B over r subscript K equals t subscript B over t subscript K equals s subscript B over s subscript k end style](data:image/png;base64,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)
a.
Pertama, kita harus mengetahui skala perbandingan anata B dan K. Karena yang diketahu adalah luas permukaan, maka skala perbandingannya dalam kuadrat atau pangkat 2. Kita sebut saja skala perbandingan dengan p
Untuk mendapatkan jari-jari tabung kecil kita harus menghitung nilai jari-jari tabung besar terlebih dahulu
kemudian kita cari dengan cara memfaktorkan dengan menggunakan rumus
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row a equals 1 row b equals 12 row c equals cell negative 48 end cell row blank blank blank row cell r subscript 1 comma r subscript 2 end cell equals cell fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end cell row blank equals cell fraction numerator negative 12 plus-or-minus square root of 12 squared minus 4 times 1 times open parentheses negative 48 close parentheses end root over denominator 2 times 1 end fraction end cell row blank equals cell fraction numerator negative 12 plus-or-minus square root of 144 plus 192 end root over denominator 2 end fraction end cell row blank equals cell fraction numerator negative 12 plus-or-minus square root of 336 over denominator 2 end fraction end cell row blank blank cell ambil space yang space positif end cell row blank equals cell fraction numerator negative 12 plus square root of 16.21 end root over denominator 2 end fraction end cell row blank equals cell fraction numerator negative 12 plus 4 square root of 21 over denominator 2 end fraction end cell row blank equals cell negative 6 plus 2 square root of 21 space cm space end cell end table end 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setelah mendapat nilai
dan juga nilai skala perbandingan, maka kita dapat mencari nilai
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell r subscript B over r subscript K end cell equals p row cell fraction numerator negative 6 plus 2 square root of 21 over denominator r subscript K end fraction end cell equals cell 2 square root of 2 end cell row cell r subscript K end cell equals cell fraction numerator negative 6 plus 2 square root of 21 over denominator 2 square root of 2 end fraction space cm end cell row blank blank blank end table end style](data:image/png;base64,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)
b.
Pertama, kita harus mengetahui skala perbandingan anata B dan K. Karena yang diketahu adalah volume, maka skala perbandingannya dalam kubik atau pangkat 3. kita sebut saja skala perbandingan dengan p
Untuk mendapatkan garis pelukis atau s pada kerucut besar kita harus menghitung nilai garis pelukis kerucut kecil terlebih dahulu, tapi sebelum itu kita harus memiliki nilai tinggi kerucut kecil.
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell V subscript k end cell equals cell 1 third πrt end cell row cell 12 straight pi end cell equals cell 1 third straight pi times 4 squared times straight t end cell row 36 equals cell 16 times straight t end cell row straight t equals cell 36 over 16 end cell row straight t equals cell 9 over 4 straight m end cell row blank blank blank end table end style](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGsAAACqCAYAAACqC7EdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAABeTPfubQAABfdJREFUeNrtnVGEXGcUxz8rVlSVWhUR1ZeIqKqyVkRUhchDxFpL1T5UVchDVZ9Kn6r60Jc8VFX1rSpqhVErYh9KH/YhokrVilpVqqpWVclD1FhRpt9xz3THZO6935299845d34/jp2dHTPfnv+c7557v/OdG0J3OBPt/Wi7AczzVbQ3ow1whR8QC7EAsRALEAsQC7Hgf05G2y74+3vR3pmBSOMGyl60hQnPn4p2D/fY4otolyc8fzvaBeNj/zravznRuJ34Hn1PYr0a7cbYc1ei3axpCmtqOpPZ4JNoi2PvfVAwNvny/agCB4/T7dP6DwxZ1N9POE1GisT6JtpZ74nM/WhL+vjDaO8aSCqqRGeqWEtdyDo/i/aafut2G3R6G5GVIqhrsdb1GLUT7eWc1/SirRkd/6OxxwtdFuvJaA+jbRa85udozxoc+1NjGd2eZreLiaL8He2SN8F2CpKKhTGHbIxkYrNmQ8c+5HU9bl1PFOt5TfM7c/J9Th1yLNrHIVvJBaPIt/fbaFvRlhv8nNVoP+hxp6+p9grur8anISti+S7acw1+zm2N4gWNYrku+Tvur8aWXtUQoe7piXQbHNMEACrwINpxfbys01OTyYVE1oshu255FffbZXgC/UfDUy7UGFnnQ3ZV/Rzu8MEz0X7BDX4i7B/cYJPtkWlPLiPd0NMGMMhVPSmWxcH9aB9p+g4AAAAAAAAAADAl9MFwBH0wHIJYiAWIhVjmeCtkewKkmIeqK+Niycq1lODJTpt9JPIxDcrq9QES+RDr7ZBt0Gj8pFLm2rshK/6Xn5+HbH+WJZFmvTF7teBzL0a7E2qqDSk7qZQKolfC4e7AayErpoQMqePfy/HfGfXf4qymkfGNciHU01+iDZoYp3zZN3L8t6OCVaVfl1hST/7rmHhV+kuUTWFW+mCEkZnkWsEholfgv7L/Z9J7J/kg1Tky/64lvIfl7KfKOPOcJtPfaIuJwZTjGEyjRdkLJKnY1INpmLFYbfTBKEO6Faw3lI0eSSzZ6H0r2ukK7zGoweltRNag5i/MTMWScN8KabsXU/pLWKCJcZqILDlGvZDwAan9JWZNU+OsU6zcXhtloZwa7qn9JWZNU+OsU6zO9doAZ9AHwxH0wXAMfTAcQB8MJ9AHw2Fk0QfDGfTBcBZh9MEwCn0wHEEfDAAAAAAAAAAAt6TWO0g5sexF2tfXyi0urtQ8lpTeF22Mwywp9Q5SYj16AzR57SUVtk7Ktim1NQ43TKp3+CBkm57bIk+sOsbR74JIRfUOclfVUxWdfZRa97zXVBnH1NturFNW79DX48KuPu6psG1HVpVxTL3txktk5dU7yLrSVjjc7XdSj3VrLYtVxzg6Vbo8qd7hr/D44p/sPvmt5Wmw6jg6L9akeoebE6bHJzTlbzOy6hiHa7FS6h1k98Nd/SnIJrzN0NytYovueHrUcbi8xe2Q1HqHFT3H6etx46UGE52iKfOo42DbDQAAAAAAAADA3GGpLgRKsFQXAhWxUBcCJdRZFwINYq0uBBIiy0pdCCRSR10ItBhhs64LgRws1oVADpbqQgDao48LfJ3/lN25YBZN+CFHDJhzsQY1GyQ4AicyDcI0uC7unzco7gfwCj0xHEFPjA5lntRgOBKLGgxHYlGD4UgsajAciUUNhiOxqMFwJBY1GMZEaronBgAAAAAAAAAAzA1y6ehOyC4lyZoV1/yMcjFkF2VPjAj3feDan0lkyf742HOyyHgL19jjfsgWEkeRhcaHuMYeKxpFw4KY0yFrr/AI19hEFhWlpuJAp8XL+hgcIL0w/sQNPrhOgmETmf7OjyQWUkb9INoFXGMPaQ75U8hqA0WkXpjcHBKgW9AHwwkW+2DIe54Nh2VpMoXKDpM39ARbUn7pW7g+r4JZG8+X4bA514o+N9prdzk83roVsWqM2tToTL1r6gCxbEyDiOVoGkSsHKz1wUCsAqz1wUAsgKqsEhE+kNXiPcTygTQu2UAs+0gH6h6JgY/pT67pLSGWfWQn/joptw9o1+pcPEAsQKwE/gN3QKXHXfoNOQAAA8R0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRhYmxlIGNvbHVtbmFsaWduPSJyaWdodCBjZW50ZXIgbGVmdCIgY29sdW1uc3BhY2luZz0iMHB4Ij48bXRyPjxtdGQ+PG1zdWI+PG1pPlY8L21pPjxtaT5rPC9taT48L21zdWI+PC9tdGQ+PG10ZD48bW8+PTwvbW8+PC9tdGQ+PG10ZD48bWZyYWM+PG1uPjE8L21uPjxtbj4zPC9tbj48L21mcmFjPjxtaT4mI3gzQzA7cnQ8L21pPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bW4+MTI8L21uPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gzQzA7PC9taT48L210ZD48bXRkPjxtbz49PC9tbz48L210ZD48bXRkPjxtZnJhYz48bW4+MTwvbW4+PG1uPjM8L21uPjwvbWZyYWM+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPiYjeDNDMDs8L21pPjxtbz4mI3hCNzs8L21vPjxtc3VwPjxtbj40PC9tbj48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3hCNzs8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj50PC9taT48L210ZD48L210cj48bXRyPjxtdGQ+PG1uPjM2PC9tbj48L210ZD48bXRkPjxtbz49PC9tbz48L210ZD48bXRkPjxtbj4xNjwvbW4+PG1vPiYjeEI3OzwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPnQ8L21pPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+dDwvbWk+PC9tdGQ+PG10ZD48bW8+PTwvbW8+PC9tdGQ+PG10ZD48bWZyYWM+PG1uPjM2PC9tbj48bW4+MTY8L21uPjwvbWZyYWM+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj50PC9taT48L210ZD48bXRkPjxtbz49PC9tbz48L210ZD48bXRkPjxtZnJhYz48bW4+OTwvbW4+PG1uPjQ8L21uPjwvbWZyYWM+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPm08L21pPjwvbXRkPjwvbXRyPjxtdHI+PG10ZC8+PG10ZC8+PG10ZC8+PC9tdHI+PC9tdGFibGU+PC9tYXRoPqlbQLAAAAAASUVORK5CYII=)
setelah mendapat nilai
dan juga nilai skala perbandingan, maka kita dapat mencari nilai ![undefined](data:image/png;base64,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)
c. Kesimpulannya, pada bangun ruang yang sebangun kita dapat mengetahui sisi-sisi yang belum diketahui dengan memanfaatkan informasi luas permukaan atau volume dari kedua bangun dan juga nformasi dari salah satu bangun berupa jari jari atau tinggi atau garis pelukis.