Surface Area of Cylinders Quick Check
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Question
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 square yards
252.77 square yards
252.77 yards
To find the surface area of a cylinder, we calculate the sum of the areas of the two bases and the lateral surface area.
The area of the bases can be found using the formula for the area of a circle, A = πr^2. Since the radius is given as 7 yards, the base area is 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, LSA = 2πrh. Since the radius is 7 yards and the height is 8 yards, the lateral surface area is 2 * 3.14 * 7 * 8 = 351.68 square yards.
Adding the two base areas to the lateral surface area, we get 153.86 + 351.68 = 505.54 square yards.
Therefore, the surface area of the cylinder is approximately 505.54 square yards.
The closest approximation given is 577.76 square yards, so the correct answer is:
577.76 square yards.