Question

对球的直径作近似测量,设其值均匀地分布在区间[a,b] 内,求球体积的均值

Answer 1

球体积=4π/3r^3

f(x)=(x-a)/(b-a)

E(V)=4π/3∫[a,b]x*[(x-a)/(b-a)]^3dx