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
628 square centimeters
628 square centimeters
628 centimeters
628 centimeters
1,099 square centimeters
1,099 square centimeters
533.8 square centimeters
To find the surface area of a cylinder, we need to calculate the area of the two circular bases and the curved surface area.
The formula for the area of a circular base is:
Area of a circle = π * radius^2
The formula for the curved surface area of a cylinder is:
Curved surface area = 2 * π * radius * height
Given that the height of the cylinder is 15 centimeters and the radius is 5 centimeters, we can calculate the surface area as follows:
Area of the circular base = π * (5 cm)^2 = 25π square cm
Curved surface area = 2 * π * 5 cm * 15 cm = 150π square cm
Total surface area = 2 * (area of a circular base) + (curved surface area)
Total surface area = 2 * 25π square cm + 150π square cm
= 50π square cm + 150π square cm
= 200π square cm
Using the approximation 3.14 for π, we can calculate the surface area:
Total surface area = 200 * 3.14 square cm
≈ 628 square cm
Therefore, the correct answer is:
628 square centimeters.