getting volume with given region and bounds












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$begingroup$


So in my text book(online) we have this question and I'm very lost what to do as my answer is wrong.



The region bounded by the curve $y=x^2$ and the x-axis between $x = 1$ and $x = 0$ is revolved around the line $y = 1$ . Find the volume of this solid of revolution.



What I got was: $$picdotint_0^1left(1-sqrt{y}right)^2dy$$



Though it says its wrong.










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$endgroup$

















    1












    $begingroup$


    So in my text book(online) we have this question and I'm very lost what to do as my answer is wrong.



    The region bounded by the curve $y=x^2$ and the x-axis between $x = 1$ and $x = 0$ is revolved around the line $y = 1$ . Find the volume of this solid of revolution.



    What I got was: $$picdotint_0^1left(1-sqrt{y}right)^2dy$$



    Though it says its wrong.










    share|cite|improve this question











    $endgroup$















      1












      1








      1





      $begingroup$


      So in my text book(online) we have this question and I'm very lost what to do as my answer is wrong.



      The region bounded by the curve $y=x^2$ and the x-axis between $x = 1$ and $x = 0$ is revolved around the line $y = 1$ . Find the volume of this solid of revolution.



      What I got was: $$picdotint_0^1left(1-sqrt{y}right)^2dy$$



      Though it says its wrong.










      share|cite|improve this question











      $endgroup$




      So in my text book(online) we have this question and I'm very lost what to do as my answer is wrong.



      The region bounded by the curve $y=x^2$ and the x-axis between $x = 1$ and $x = 0$ is revolved around the line $y = 1$ . Find the volume of this solid of revolution.



      What I got was: $$picdotint_0^1left(1-sqrt{y}right)^2dy$$



      Though it says its wrong.







      integration volume






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 9 '18 at 19:47









      Key Flex

      8,59761233




      8,59761233










      asked Dec 9 '18 at 19:46









      joshau joshau

      61




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