The radius of a cylinder is 3x - 2 cm. The height of the cylinder is x + 3 cm. What is the

surface area of the cylinder? Use the formula A = 23r + 2 x rh.

Surface Area of the cylinder is 6x² + 83x - 58 cm²

Step-by-step explanation:

Step 1: Given surface area of the cylinder, A = 23r + 2rh. Here, r = (3x - 2) and h = (x + 3)

⇒ A = 23 (3x - 2) + 2 (3x - 2) (x + 3)

⇒ A = 69x - 46 + (6x² + 18x - 4x - 12)

⇒ A = 6x² + 83x - 58 cm²