Assume that the distribution of the radius R of stars has a density function f sub R. Find formulas for the density and the distribution function of their volume V=(4/3)R^3 pie. Solution Here R is a random variable with fR Lets assume Volume is random variable Y Y = g(R) = (4/3)**R3 => dY/dR = 4R2 > 0 (i.e Y is a increasing function) R = ((3/4)*Y/)1/3 FY(y) = P[Y.