What is the surface area of a cylinder with base radius 3 and height 6? Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

To calculate the surface area of a cylinder, we need to find the area of the two circular bases and the area of the rectangular side that wraps around the cylinder. The formula for the surface area (SA) of a cylinder is: where is the radius of the base and is the height of the cylinder.Given:- Radius - Height Step 1: Calculate the area of the two circular bases.The area of one circular base is , so for two bases, it's . Step 2: Calculate the area of the side (the lateral surface area).The lateral surface area is the circumference of the base times the height, which is . Step 3: Add the areas of the bases and the lateral surface to find the total surface area. So, the exact surface area of the cylinder in terms of is square units.If we use , then the surface area in decimal form is: Therefore, the surface area of the cylinder is square units when using .