I have a thoughtful question...
The volume of a sphere is V = (4/3)pi(r^3), right?
So for a given dr/dt, where r = radius, Why is the rate of change of the volume of the sphere not constant even though dr/dt is constant?
i derived that
dV/dt = (4pi/3)(3r^2)(dr/dt)
not sure how to explain why dV/dt isn't constant
The volume of a sphere is V = (4/3)pi(r^3), right?
So for a given dr/dt, where r = radius, Why is the rate of change of the volume of the sphere not constant even though dr/dt is constant?
i derived that
dV/dt = (4pi/3)(3r^2)(dr/dt)
not sure how to explain why dV/dt isn't constant