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Perhatikan gambar! Jika volume diputar terhadap sumbu – Y dan daerah diputar terhadap sumbu – X maka nilai a adalah…

Perhatikan gambar!

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

  1. 2 over 3

  2. 2 over 5

  3. 5 over 2

  4. 1 half

  5. 1 third

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Pembahasan

Volume space straight D subscript 2 colon straight pi integral subscript 0 superscript straight a space open parentheses straight x squared close parentheses squared space dx space equals space straight pi integral subscript 0 superscript straight a space straight x to the power of 4 space dx Volume space straight D subscript 1 colon straight pi integral subscript 0 superscript straight a squared end superscript space open parentheses square root of straight y close parentheses squared space dy space equals space straight pi integral subscript 0 superscript straight a squared end superscript space straight y space dy straight pi integral subscript 0 superscript straight a space straight x to the power of 4 space dx space equals space straight pi integral subscript 0 superscript straight a squared end superscript space straight y space dy 1 fifth space straight x to the power of 5 space vertical line presubscript 0 presuperscript straight a space equals space 1 half straight y squared space vertical line presubscript 0 presuperscript straight a squared end presuperscript 1 fifth straight a to the power of 5 space equals space 1 half open parentheses straight a squared close parentheses squared 1 fifth straight a to the power of 5 space equals space 1 half straight a to the power of 4 space left right double arrow space straight a space equals space 5 over 2

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