- #1
KatieLynn
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Homework Statement
The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of chance of the volume when r=6 and r=24 inches.
Homework Equations
V=(4/3)(pi)(r^3)
The Attempt at a Solution
This is what I did, I would appreciate it if someone could tell me if it is correct.
So the volume of a sphere is V=(4/3)(pi)(r^3)
So the first thing I did was derive the equation and got this...
(dv/dt)=(4/3)(3)(pi)(r^2)(dr/dt)
Simplifying it and plugging in 2 for (dr/dt) i got...
(dv/dt)=(8)(pi)(r^2)
So then I just plugged in the r and got 288pi and 4680pi, I have a feeling I've done this terribly wrong though :(