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Jika volume D 1 ​ diputar terhadap sumbu – Y dan volume daerah D 2 ​ diputar terhadap sumbu – X sama, maka nilai a adalah…

Jika volume  diputar terhadap sumbu – Y dan volume daerah  diputar terhadap sumbu – X sama, maka nilai a adalah…

  1. begin mathsize 12px style 2 over 3 end style

  2. begin mathsize 12px style 2 over 5 end style

  3. begin mathsize 12px style 5 over 2 end style

  4. begin mathsize 12px style 1 half end style

  5. begin mathsize 12px style 1 third end style

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

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Pembahasan

Volume : Volume :

Volume begin mathsize 12px style D subscript 2 end style :

begin mathsize 12px style pi integral subscript 0 superscript a open parentheses x squared close parentheses squared d x equals pi integral subscript 0 superscript a x to the power of 4 d x end style

Volume begin mathsize 12px style D subscript 1 end style :

begin mathsize 12px style pi integral subscript 0 superscript a squared end superscript open parentheses square root of y close parentheses squared d y equals pi integral subscript 0 superscript a squared end superscript y space d y pi integral subscript 0 superscript a x to the power of 4 d x equals pi integral subscript 0 superscript a squared end superscript y space d y 1 fifth x to the power of 5 open table row a row 0 end table close vertical bar equals 1 half y squared open table row cell a squared end cell row 0 end table close vertical bar 1 fifth a to the power of 5 equals 1 half open parentheses a squared close parentheses squared 1 fifth a to the power of 5 equals 1 half a to the power of 4 left right double arrow a equals 5 over 2 end style

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