The volume of the sphere is given by V = 4/3 * pie * r^3. We seek dr/dt that the rate of change of the radius with respect to time.
V = 4/3 * pie * r^3
Since we know the rate at which the volume changes wrt time. We can plug it in to find dr/dt.
dV/dt = 36pie. But dV/dt = 4/3 * pie * 3r^2 * dr/dt
So we have that dr/dt = (dV/dt) / 4/3 * pie * 3r^2
So dr/dt = (36pie)/ 4/3 * pie * 3(4)^2
dr/dt = 113.112/ 201.0864 = 0.5624
Answer:
Explanation:
this is the answer to your question
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