What is the total surface area of the cylinder from Part A? (Radius is 2.5 meters and height is 7 meters).
Use 3.14 for pi.
To find the total surface area of a cylinder, we add the areas of the two bases and the lateral surface area.
The formula for the lateral surface area of a cylinder is given by 2πrh, where r is the radius and h is the height.
The formula for the area of a circle (which represents the bases of the cylinder) is given by πr^2.
Given that the radius (r) is 2.5 meters and the height (h) is 7 meters, we can calculate the total surface area as follows:
Area of the bases = 2πr^2
Area of the bases = 2(3.14)(2.5)^2
Area of the bases = 2(3.14)(6.25)
Area of the bases = 39.25 square meters
Lateral surface area = 2πrh
Lateral surface area = 2(3.14)(2.5)(7)
Lateral surface area = 2(3.14)(17.5)
Lateral surface area = 109.9 square meters
Therefore, the total surface area of the cylinder is:
Total surface area = Area of the bases + Lateral surface area
Total surface area = 39.25 + 109.9
Total surface area = 149.15 square meters
Thus, the total surface area of the cylinder is 149.15 square meters.