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
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
577.76 square yards
577.76 square yards
329.7 square yards
To find the surface area of a cylinder, we need to calculate the area of the two circular bases and the area of the curved surface.
The area of each circular base can be found using the formula for the area of a circle: A = πr^2. Since the radius is given as 7 yards, we can substitute it into the formula:
Base area = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards (approx.)
The curved surface area of a cylinder can be found using the formula: A = 2πrh, where r is the radius and h is the height. Substituting the given values, we get:
Curved surface area = 2 * 3.14 * 7 * 8 = 351.68 square yards (approx.)
To find the total surface area, we add the areas of the two circular bases and the curved surface:
Total surface area = 2 * base area + curved surface area = 2 * 153.86 + 351.68 = 659.4 square yards (approx.)
Therefore, the correct response is 659.4 square yards.