Final answer:
To find the surface area of a cylinder, use the formula SA = 2πr² + 2πrh. Calculate the radius by dividing the diameter by 2. Substitute the values into the formula and perform the necessary calculations to find the surface area.
Step-by-step explanation:
To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is: SA = 2πr² + 2πrh. First, calculate the radius (half the diameter) of the base using the given diameter of 6ft. Substitute the values into the formula to find the surface area.
- Radius (r) = Diameter / 2 = 6ft / 2 = 3ft
- Lateral Surface Area = 2πrh = 2(3.14)(3ft)(5ft) = 94.2ft²
- Base Area = πr² = (3.14)(3ft)² = 28.26ft²
- Surface Area = 2(94.2ft²) + 2(28.26ft²) = 188.4ft² + 56.52ft² = 244.92ft²