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Math Help - Word problem

  1. #1
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    Word problem

    Another word problem that I am struggling with...



    Thanks for all help
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Intrusion View Post
    Another word problem that I am struggling with...



    Thanks for all help
    What have you tried here?
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  3. #3
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    I've drawn the cylinder with radius 3 dm but I'm not exactly sure what they mean by movable piston.

    I guess it is just a part sticking out with height h?

    I've also gotten the area of the circular base - A= pi * r^2. = pi * 9 = 28 dm^2.

    So volume of the cylinder is then 280 liters.

    Would the answer then by V = 280 - 2T?
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Intrusion View Post
    I've drawn the cylinder with radius 3 dm but I'm not exactly sure what they mean by movable piston.

    I guess it is just a part sticking out with height h?

    I've also gotten the area of the circular base - A= pi * r^2. = pi * 9 = 28 dm^2.

    So volume of the cylinder is then 280 liters.

    Would the answer then by V = 280 - 2T?
    I think we can kinda think about this like its a hypodermic needle. I think thats whats going on here, where the piston represents the plunger of the syringe.

    So since the piston is already pulled back 10dm, I think what we have here is

    V(t)=\pi{r}^2h(t) where h(t)=10+2t

    So, V(t)=\pi{r}^2(10+2t)
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  5. #5
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    Yeah, that make's perfect sense. Thanks a lot.
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