A cylinder is labeled with a height of 8 yards and a radius of 7 yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
252.77 yards
577.76 square yards
252.77 square yards
329.7 square yards
To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area.
First, let's find the area of one circular base. The formula for the area of a circle is A = π * r^2, where A is the area and r is the radius. In this case, the radius is 7 yards, so the area of one circular base is A = 3.14 * 7^2.
A = 3.14 * 49
A ≈ 153.86 (rounded to two decimal places)
Next, let's find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is A = 2πrh, where A is the area, π is the approximation 3.14, r is the radius, and h is the height. In this case, the radius is 7 yards and the height is 8 yards, so the lateral surface area is A = 2 * 3.14 * 7 * 8.
A = 2 * 3.14 * 7 * 8
A ≈ 351.36 (rounded to two decimal places)
Now, let's calculate the total surface area by adding the areas of the two circular bases and the lateral surface area.
Total Surface Area = 2 * (Area of Circular Base) + Lateral Surface Area
Total Surface Area = 2 * 153.86 + 351.36
Total Surface Area ≈ 659.08 (rounded to two decimal places)
Therefore, the surface area of the cylinder is approximately 659.08 square yards.