The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).
The zeros are x = -1, +1, +5.
___
A graphing calculator confirms this.
V= 1/3 pi r^2h
Find the radius
r=d/2
r=8/2
r= 4
V= 1/3 pi (4)^2•6
V=32pi or 100.53