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 square yards
252.77 square yards
329.7 square yards
329.7 square yards
252.77 yards
252.77 yards
577.76 square yards
577.76 square yards
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page 15 of 15
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: πr^2, where r is the radius of the base. In this case, the radius is 7 yards.
So, the area of each circular base is: π(7^2) = π(49) = 153.86 square yards.
The area of the curved surface can be found using the formula: 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 7 yards and the height is 8 yards.
So, the area of the curved surface is: 2π(7)(8) = 112π = 352.8 square yards.
Now, we can find the total surface area of the cylinder by adding the area of the two circular bases and the area of the curved surface together:
153.86 + 153.86 + 352.8 = 660.52 square yards.
Since we are asked to use the approximation 3.14 for π, the surface area of the cylinder is approximately 660.52 square yards.
Therefore, the correct answer is 577.76 square yards.