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Math Help - Volume of a Solid of Revolution

  1. #1
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    Volume of a Solid of Revolution

    I need help with these problems, help would be greatly appreciated!

    Problem 1: Find the volume of the solid that results when the region between the curve y=x and the x-axis, from x=0 to x=1, is revolved about the x-axis.

    Problem 2: Find the volume of the solid that results when the region bounded by y=x and y=x^2, from x=0 to x=1, is revolved about the x-axis

    Problem 3: Find the volume of the solid that results when the region bounded by the curve x=y^2 and the curve x=y^3, from y=0 to y=1 is revolved about the y-axis.

    Using the Cylindrical Shells

    Problem 4: Find the volume of the region that results when the region bounded by the curve y=sqrt(x), the x-axis, and the line=9 is revolved about the y-axis. Set up but do not evaluate the integral.

    Problem 5: Find the volume of the region that results when the region bounded by the curve x=y^2 and the line x=y, from y=0 to y=1, is rotated about the x-axis. Set up but do not evaluate the integral.
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  2. #2
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    Please don't post more than two questions in a thread. Otherwise the thread can get convoluted and difficult to follow. It is better for forum organization and better for you to get your questions answered in a more timely manner if you start new threads as necessary for remaining questions. eg. If you have five questions, post two of them in two threads and start a new thread for the remaining one etc.

    And if the question has more than two parts to it, it is best to post only that question and its parts in the thread and start a new thread for other questions.

    Thread closed.
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