The volume of a cylinder is expressed as V = πr^2h where r is the radius and is half the diameter and h is the height of the cylinder. We are given expression for each dimension of the shape. Substituting,
V = πr^2h
V = π(2x+3)^2 (6x + 1)
V = π (4x^2 + 12x + 9) (6x + 1 )
V = π (24x^3 + 4x^2 + 72x^2 + 12x + 54x + 9 )
V = π (24x^3 + 76x^2 + 66x + 9 )
