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Math Help - Solids of Revolution

  1. #1
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    Solids of Revolution

    Hi all,
    n
    I have got a revision question, I just wanted to see whether you get the same answer as I have.

    Find the volume of revolution formed when the following region rotates about the x-axis between x=0, and x=3

    y=5e^x

    Thanks.
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  2. #2
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    Quote Originally Posted by Googl View Post
    Hi all,
    n
    I have got a revision question, I just wanted to see whether you get the same answer as I have.

    Find the volume of revolution formed when the following region rotates about the x-axis between x=0, and x=3

    y=5e^x

    Thanks.
    What is your answer, you just posted the question!
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  3. #3
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    Quote Originally Posted by TheEmptySet View Post
    What is your answer, you just posted the question!
    Sorry, I forgot to add that.

    V = π25e^6 / 2
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  4. #4
    Behold, the power of SARDINES!
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    Quote Originally Posted by Googl View Post
    Sorry, I forgot to add that.

    V = π25e^6 / 2
    You have half of the answer. What happened to the lower limit of integration? When you plug in t=0 you should not get zero!
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  5. #5
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    I didn't realize that I thought if the lower limit is zero it will always be a zero, but I am aware of it now. So it will be:

    V = π(25e^6 / 2 - 25/2)

    How would you write this in terms of π?
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