The rate of change of the radius of a sphere is constant. The rate of change of the volume is?

Question

a. Increasing at any time
b. Decreasing at any time
c. Increasing when dr/dt > 0 and decreasing when dr/dt < 0
d. Decreasing when dr/dt > 0 and increasing when dr/dt < 0

Answer 1

dv/dt = 4πr^2 dr/dt
so, what do you think?

Technically, none of the choices is correct, but that's only because you stated the question incorrectly.