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Math Help - Volume of Cylinder

  1. #1
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    Volume of Cylinder

    A cylinder is measured and found to be 27 m long and 33 m in diameter.
    The volume of a cylinder is where R is the radius and L is the length.

    Questions:

    I used the volume formula: V = pi(R^2)(L).....Is this the correct formula for this question?


    #1 What is the radius of the cylinder?

    I found the radius to be 33/2. Is this correct?

    #2 What is the volume of the cylinder in m^3?

    I found the volume to be 23081.355 m^3...Is this correct?

    How do I convert this volume to cm^2


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  2. #2
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    Quote Originally Posted by magentarita View Post
    A cylinder is measured and found to be 27 m long and 33 m in diameter.
    The volume of a cylinder is where R is the radius and L is the length.

    Questions:

    I used the volume formula: V = pi(R^2)(L).....Is this the correct formula for this question?.......Yes


    #1 What is the radius of the cylinder?

    I found the radius to be 33/2. Is this correct?.......Yes

    #2 What is the volume of the cylinder in m^3?

    I found the volume to be 23081.355 m^3...Is this correct?.......nearly

    How do I convert this volume to cm^2


    1. You used \pi = 3.14. If you use the number \pi a little bit more exact the volume would be V = 23093.622\ m^3

    to #2:

    1\  m^3 = 1\ m \cdot1\ m \cdot1\ m = 100\ cm \cdot100\ cm \cdot100\ cm = 1,000,000\ cm^3

    That means: Multiply the value of the volume by 1,000,000 to convert it into cm.
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  3. #3
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    Are you saying???

    Quote Originally Posted by earboth View Post
    1. You used \pi = 3.14. If you use the number \pi a little bit more exact the volume would be V = 23093.622\ m^3

    to #2:

    1\ m^3 = 1\ m \cdot1\ m \cdot1\ m = 100\ cm \cdot100\ cm \cdot100\ cm = 1,000,000\ cm^3

    That means: Multiply the value of the volume by 1,000,000 to convert it into cm.
    Are you saying to multiply 1,000,000 by 23093.622 m^2 to convert to cm^3? Also, how did you get
    23093.622 m^3 for the volume using 3.14 for pi? If you did not use 3.14 for pi, which value of pi did you use?
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  4. #4
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    Quote Originally Posted by magentarita View Post
    Are you saying to multiply 1,000,000 by 23093.622 m^2 to convert to cm^3?


    Yes. I've made a tiny mistake: The coefficient which converts m into cm actually is: 1,000,000\ \dfrac{cm^3}{m^3}

    Also, how did you get
    23093.622 m^3 for the volume using 3.14 for pi? If you did not use 3.14 for pi, which value of pi did you use?
    I used as many digits as my calculator uses: \pi \approx 3.14159265359 and then rounded the final result to 3 digits.
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  5. #5
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    got it

    Quote Originally Posted by earboth View Post
    Yes. I've made a tiny mistake: The coefficient which converts m into cm actually is: 1,000,000\ \dfrac{cm^3}{m^3}



    I used as many digits as my calculator uses: \pi \approx 3.14159265359 and then rounded the final result to 3 digits.
    I got it now. Thanks.
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