Refer to Exercise 6. Suppose 8 cylinders are constructed. Find the probability that fewer than 5 of them have volumes between 500 and \(800 \mathrm{~cm}^{3}\).

Data From Exercise 6:
The volume of a cylinder is given by \(V=\pi r^{2} h\), where \(r\) is the radius of the cylinder and \(h\) is the height. Assume the radius, in \(\mathrm{cm}\), is lognormal with parameters \(\mu_{r}=1.6\) and \(\sigma_{r}^{2}=0.04\), the height, in \(\mathrm{cm}\), is lognormal with parameters \(\mu_{h}=1.9\) and \(\sigma_{h}^{2}=0.05\), and that the radius and height are independent.