Final answer:
The differential of the volume of a sphere is given by dV = 4πr^2dr.
Step-by-step explanation:
The volume of a sphere is given by the formula V = (4/3)πr3. To find the differential of V, we need to differentiate the formula with respect to r. Since r is the only variable in the formula, we can simply differentiate each term of the formula. The differential of V is given by dV = 4πr2dr.