Final answer:
The surface area of the right circular cylinder with a base diameter of 19.5 and a height of 17.3 can be calculated by adding the lateral area and twice the base area, using formulas 2πrh and πr² respectively.
Step-by-step explanation:
To calculate the surface area of a right circular cylinder, we will use the formula for the lateral surface area, which is 2πrh, and add the area of the two circular bases, which can be calculated with the formula πr². Given the diameter of the base is 19.5 units (and therefore the radius is 19.5 / 2 = 9.75 units), and the height is 17.3 units, we can calculate the surface area as follows:
- Lateral surface area = 2πr × h = 2 × 3.14 × 9.75 × 17.3
- Area of one base = πr² = 3.14 × 9.75²
- Total surface area = Lateral surface area + 2 × Area of one base
After performing these calculations, ensure you round the result to two decimal places as needed. The exact operations will yield the precise surface area of the cylinder.