Answer :
Final answer:
The surface area of a cylinder is calculated using the formula 2πrh + 2πr². For a cylinder with a diameter of 4 cm and height of 6 cm, this calculates to approximately 125.6 cm², though this value is not present in the given options, suggesting a potential error in the question or options provided.
Explanation:
The surface area of a cylinder is given by the sum of the areas of its two circular bases and the area of the rectangle that would be formed if the curved surface were rolled out flat. The formula for the surface area of a cylinder is 2πrh + 2πr², where r is the radius and h is the height. Given a diameter of 4 cm, the radius (r) is half of that, which is 2 cm. Plugging these values into the formula, we get 2π(2 cm)(6 cm) + 2π(2 cm)², which simplifies to 24π cm² + 8π cm². Calculating these values with π approximated as 3.14, we have 75.4 cm² + 50.24 cm², which totals to approximately 125.6 cm². However, this is not one of the options provided. If we round to one decimal place, we would get 125.7 cm², but since this is still not given in the options and ruling out a typo, one must consider the possibility of error in the provided options or misinterpretation of the question.
Learn more about Surface Area of a Cylinder here:
https://brainly.com/question/29015630
#SPJ11
