Cones, Cylinders, & Spheres Unit Test
2 of 152 of 15 Items
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
628 centimeters
628 centimeters
1,099 square centimeters
1,099 square centimeters
628 square centimeters
628 square centimeters
533.8 square centimeters
To find the surface area of a cylinder, we need to find the area of the two bases and the lateral surface area.
The area of one base is given by the formula A = πr^2, where r is the radius of the base.
In this case, the radius is 5 centimeters, so the area of one base is A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters.
Since the cylinder has two bases, the total area of the bases is 2 * 78.5 = 157 square centimeters.
The lateral surface area can be found using the formula A = 2πrh, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius is 5 centimeters and the height is 15 centimeters.
So the lateral surface area is A = 2 * 3.14 * 5 * 15 = 3.14 * 75 = 235.5 square centimeters.
To find the total surface area, we add the areas of the bases and the lateral surface area: 157 + 235.5 = 392.5 square centimeters.
So, the surface area of the cylinder is approximately 392.5 square centimeters, which is not listed as one of the answer choices. Therefore, none of the provided answer choices are correct.