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May 6th, 2012, 01:19 PM   #1
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Please Help.. Derivatives dV/dR - dV/dt

air is being pumped into a spherical weather balloon.at any time t, the volume of the balloon is v(t) and its radius is r(t).

What do the derivatives dV/dr - dV/dt represent

Express dV/dt in terms of dr/dt
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May 6th, 2012, 01:31 PM   #2
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Re: Please Help.. Derivatives dV/dR - dV/dt

My attempt at first question is:

dV/dr : rate of change of volume with respect to radius

dV/dt: rate of change of volume with respect to time


2nd part:

Since

then

Am I right so far?

Thanks
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May 6th, 2012, 07:13 PM   #3
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Re: Please Help.. Derivatives dV/dR - dV/dt

Yes, looks correct.

For the second part, you could even use:

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May 6th, 2012, 07:53 PM   #4
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Re: Please Help.. Derivatives dV/dR - dV/dt

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