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Perhatikan gambar di bawah ini! Tentukan panjang dari unsur tabung yang ditanyakan. Keterangan : V = Volume Tabung , L = luas permukaan tabung , r = jari − jari tabung .

Perhatikan gambar di bawah ini!

Tentukan panjang dari unsur tabung yang ditanyakan.

 

Keterangan : .

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

jari-jari tabung adalah

jari-jari tabung adalah 9 comma 25 cm.

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Pembahasan

Jadi, jari-jari tabung adalah

table attributes columnalign right center left columnspacing 0px end attributes row L equals cell 2 πr squared plus 2 πrt end cell row cell 450 straight pi end cell equals cell 2 πr left parenthesis straight r plus straight t right parenthesis end cell row cell 450 straight pi end cell equals cell 2 cross times straight pi cross times r cross times open parentheses r plus 15 close parentheses end cell row cell 450 straight pi end cell equals cell 2 πr left parenthesis r plus 15 right parenthesis end cell row cell 450 straight pi end cell equals cell 2 πr squared plus 30 πr end cell row cell 450 straight pi end cell equals cell 2 straight pi left parenthesis straight r squared plus 15 straight r right parenthesis end cell row cell fraction numerator 450 straight pi over denominator 2 straight pi end fraction end cell equals cell straight r squared plus 15 straight r end cell row 225 equals cell straight r squared plus 15 straight r end cell row cell straight r squared plus 15 straight r minus 225 end cell equals 0 row straight r equals cell negative fraction numerator b minus square root of straight b squared minus 4 ac end root over denominator 2 straight a end fraction end cell row straight r equals cell negative fraction numerator 15 plus square root of 15 squared minus 4 cross times 1 cross times open parentheses negative 225 close parentheses end root over denominator 2 cross times 1 end fraction end cell row straight r equals cell negative fraction numerator 15 plus square root of 225 plus 900 end root over denominator 2 end fraction end cell row blank equals cell negative fraction numerator 15 plus square root of 1.125 end root over denominator 2 end fraction end cell row blank equals cell negative fraction numerator 15 minus square root of 15 squared cross times 5 end root over denominator 2 end fraction end cell row blank equals cell negative fraction numerator 15 plus 15 square root of 5 over denominator 2 end fraction end cell row straight r equals cell fraction numerator negative 15 plus 33 comma 5 over denominator 2 end fraction end cell row straight r equals cell fraction numerator 18 comma 5 over denominator 2 end fraction end cell row straight r equals cell 9 comma 25 end cell row blank blank blank row blank blank blank end table

Jadi, jari-jari tabung adalah 9 comma 25 cm.

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zahwaayu shabirah

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