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Math Help - Question about Cylinders

  1. #1
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    Exclamation Question about Cylinders

    Sketch a cylinder with radius r and h. What will change the volume of the cylinder more, doubling the radius or doubling the height. Explain your reasoning.
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  2. #2
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    Quote Originally Posted by Johnathon324 View Post
    Sketch a cylinder with radius r and h. What will change the volume of the cylinder more, doubling the radius or doubling the height. Explain your reasoning.
    V_{cylinder}={\pi}r^2h={\pi}rrh

    If you double the height, the new volume in terms of the original height is

    {\pi}rr(2h)

    What do you get if you double the radius ?
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  3. #3
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    Pie times radius to the 4th power times height?
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    Quote Originally Posted by Johnathon324 View Post
    Pie times radius to the 4th power times height?
    No, you are guessing!
    Mathematics is concise

    {\pi}(2r)(2r)h={\pi}(2)(2)rrh={\pi}4rrh=4{\pi}r^2h

    How does that compare to the case where you doubled the height ?
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