Answer:
The surface area of the cylinder is 276.32m²
Explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²