Use the image to answer the question.
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)
Responses
329.7 square yards
329.7 square yards
577.76 square yards
577.76 square yards
252.77 yards
252.77 yards
252.77 square yards
To find the surface area of the cylinder, we need to find the area of the two bases and the lateral surface area.
The area of each base can be found using the formula for the area of a circle:
Area of a Circle = π * radius^2
Area of Base = 3.14 * 7^2 = 153.86 square yards
The lateral surface area can be found using the formula for the lateral surface area of a cylinder:
Lateral Surface Area = 2 * π * radius * height
Lateral Surface Area = 2 * 3.14 * 7 * 8 = 351.68 square yards
Now, we can find the surface area by adding the area of the two bases and the lateral surface area:
Surface Area = 2 * Area of Base + Lateral Surface Area
Surface Area = 2 * 153.86 + 351.68 = 659.4 square yards
Since the options provided are not the same as the calculated value, none of the given options is correct.