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Dinle uygula not al. 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Eğitmen, ideal gaz yasasını kullanarak problemi adım adım çözmekte ve sonucun 1,68 x 10⁵ litre olduğunu göstermektedir. 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metodu ile hacim hesaplama üzerine örnekler Internet sitesi: http://fuatserkanorhan.com Email: fuatserkanorhan@gmail.com...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4561878/29d6c363b2c6963a266545b4fdce6127/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/O0wBKQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769673024788590-8991498555173744846-balancer-l7leveler-kubr-yp-sas-167-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769673024788590-8991498555173744846-balancer-l7leveler-kubr-yp-sas-167-BAL&text=videoid:1733996812248017084","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, disk metoduyla hacim hesaplama konusunu anlatmaktadır.","Videoda iki farklı örnek üzerinden disk metodu uygulanmaktadır. İlk örnek, y = √3x eğrisinin 1 ile 4 aralığında x ekseni etrafında dönmesiyle oluşan şeklin hacmini bulmayı içermektedir. İkinci örnek ise, yarım çemberin x ekseni etrafında döndürülmesiyle oluşan kürenin hacmini hesaplamayı göstermektedir. Her iki örnek de adım adım çözülerek, disk metodu formülünün (π∫f²(x)dx) nasıl uygulanacağı detaylı olarak anlatılmaktadır."]},"endTime":520,"title":"Disk Metodu ile Hacim Hesaplama Örnekleri","beginTime":0}],"fullResult":[{"index":0,"title":"Disk Metoduyla Hacim Bulma Örneği","list":{"type":"unordered","items":["Disk metoduyla hacim bulma konusunda örnekler yapılacak.","İlk örnek, y = 3√x eğrisinin 1 ile 4 aralığında x ekseni etrafında dönmesiyle oluşan şeklin hacmini bulma sorusudur.","Hacim formülü π∫[a,b] f(x)² dx olarak kullanılır."]},"beginTime":0,"endTime":107,"href":"/video/preview/1733996812248017084?parent-reqid=1769673024788590-8991498555173744846-balancer-l7leveler-kubr-yp-sas-167-BAL&text=Lmk+Hacim+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"İlk Örnek Çözümü","list":{"type":"unordered","items":["İntegral 1 ile 4 aralığında π∫(3√x)² dx şeklinde yazılır.","İntegral hesaplanarak π∫9x dx = 9πx²/2 olarak bulunur.","Sınırlar değerlendirildiğinde 9π(16/2 - 1/2) = 135π/2 olarak sonuç elde edilir."]},"beginTime":107,"endTime":210,"href":"/video/preview/1733996812248017084?parent-reqid=1769673024788590-8991498555173744846-balancer-l7leveler-kubr-yp-sas-167-BAL&text=Lmk+Hacim+-+Topic&t=107&ask_summarization=1"},{"index":2,"title":"Kürenin Hacmini Kanıtlama","list":{"type":"unordered","items":["İkinci örnek olarak kürenin hacmini disk metoduyla kanıtlama yapılacaktır.","Yarıçapı r olan yarım çemberin denklemi y = √(r² - x²) olarak yazılır.","Yarım çemberin x ekseni etrafında 360 derece dönmesiyle oluşan kürenin hacmi hesaplanacaktır."]},"beginTime":210,"endTime":339,"href":"/video/preview/1733996812248017084?parent-reqid=1769673024788590-8991498555173744846-balancer-l7leveler-kubr-yp-sas-167-BAL&text=Lmk+Hacim+-+Topic&t=210&ask_summarization=1"},{"index":3,"title":"Kürenin Hacmini Hesaplama","list":{"type":"unordered","items":["İntegral -r ile r aralığında π∫(r² - x²) dx şeklinde yazılır.","İntegral hesaplanarak π[r²x - x³/3] olarak bulunur.","Sınırlar 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