Respuesta :

Answer: π(2x)²(8x+2)

Step-by-step explanation:

The formula for the volume of a cylinder is given as:

[tex]V = \pi r^{2} h[/tex], where:

  • V represents the volume of the cylinder
  • r represents the radius of the cylinder
  • h represents the height of the cylinder

The given information is:

  • r = 2x
  • h = 8x + 2

Plugging the given values for r and h into the formula for the volume of a cylinder, we get:

[tex]V = \pi (2x)^{2} (8x+2)[/tex]

Therefore, the expression that represents the volume of the cylinder is π(2x)²(8x+2).

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