Answer:
The surface area of the cylinder is 326.56yd²
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 = 4yd
π = 3.14
a = π * r²
we replace with the known values
a = π * (4yd)²
a = π * 16yd²
a = 50.24yd²
The area of the circle is 50.24yd²
To calculate the lateral area of the cylinder we use the following formula
a = area
h = heighti = 9yd
r = radius = 4yd
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 4yd * 9yd
a = 6.28 * 36yd²
a = 226.08yd²
The lateral area of the cylinder is 226.08yd²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
226.08yd² + (2 * 50.24yd² ) = 326.56yd²
The surface area of the cylinder is 326.56yd²