Cones, Cylinders, & Spheres Unit Test
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Question
Use the image to answer the question.
An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
(1 point)
Responses
1,099 square centimeters
1,099 square centimeters
533.8 square centimeters
533.8 square centimeters
628 square centimeters
628 square centimeters
628 centimeters
628 centimeters
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To find the surface area of the oblique cylinder, we need to calculate 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: A = πr^2, where A is the area and r is the radius.
For the given cylinder, the radius is 5 centimeters, so the area of each base is 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters.
The lateral surface area can be found using the formula: A = 2πrh, where A is the area, r is the radius, and h is the height.
For the given cylinder, the radius is 5 centimeters and the height is 15 centimeters, so the lateral surface area is 2 * 3.14 * 5 * 15 = 471 square centimeters.
Therefore, the total surface area of the cylinder is the sum of the areas of the two bases and the lateral surface area:
Total surface area = 2(78.5) + 471 = 157 + 471 = 628 square centimeters.
So the correct answer is 628 square centimeters.