Acylinder has a radius of 2x + 3 and a height of 6x + 1. which polynomial in standard form best describes the total volume of the cylinder? use the formula v=pir^2h for the volume of a cylinder

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 )