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Math Help - Volume of Sphere

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    Volume of Sphere

    A spherically shaped balloon is being inflated so that the radius is changing at a constant rate of 2 in./sec. Find an algebraic representation for V(t), the volume in terms of time, t.

    Would this be the right algebraic equation, V(t) = \frac {4}{3} \pi (2t + r)^3 ?
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Adding r inside the parentheses is redundant because r=2t. You see what I mean? So everything is right, but I would write the eqaution like this:

    V(t)=(4/3)(pi)(2t)^3

    Does that help you at all?
    Last edited by VonNemo19; May 2nd 2009 at 04:43 PM. Reason: 1
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    Quote Originally Posted by VonNemo19 View Post
    Adding r inside the parentheses is redundant because r=2t. You see what I mean? So everything is right, but I would write the eqaution like this:

    V(t)=(4/3)(pi)(2t)^3

    Does that help you at all?
    Well if "r" is the original radius of the balloon, wouldn't you need the variable when it is at 0 seconds.
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  4. #4
    No one in Particular VonNemo19's Avatar
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    I doubt that the problem requires previous Knowlege of the original radius. I mean, It's a balloon. It could be laying down flat before it was inflated, or possibly wrinkled. Yeah, maybe, but if I was your teacher, the answer I gave you is the one I would be looking for.
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  5. #5
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    Quote Originally Posted by VonNemo19 View Post
    I doubt that the problem requires previous Knowlege of the original radius. I mean, It's a balloon. It could be laying down flat before it was inflated, or possibly wrinkled. Yeah, maybe, but if I was your teacher, the answer I gave you is the one I would be looking for.
    Ok thanks alot. I'm gonna ask my teacher to clarify it just to make sure, but thanks.
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