Find the surface area of the cylinder using 3.14 for pi a crossed is 7 yd around is 8 yd 577.76 square yards 252.77 square yards 329.7 square yards 252.77 square yards
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The formula to calculate the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given:
Circumference of the base (crossed) = 7 yd
Therefore, the diameter of the base (crossed) = 7/π = 7/3.14 ≈ 2.229 yd
Radius of the base (crossed) = diameter/2 = 2.229/2 ≈ 1.1145 yd
Height of the cylinder (around) = 8 yd
1. Area of the circular base (crossed) = πr² = 3.14 * (1.1145)² ≈ 3.8765 square yards
2. Area of the circular base (around) = πr² = 3.14 * (1.1145)² ≈ 3.8765 square yards
3. Lateral surface area = 2πrh = 2 * 3.14 * 1.1145 * 8 ≈ 44.6792 square yards
Now, summing up the three areas:
Surface Area = 3.8765 + 3.8765 + 44.6792 ≈ 52.4322 square yards
Therefore, the closest answer option is 52.4322, which is approximately 52.43 square yards.