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
628 square centimeters
628 square centimeters
628 centimeters
628 centimeters
533.8 square centimeters
To find the surface area of the cylinder, we need to consider both the curved surface area and the area of the circular bases.
The curved surface area of the cylinder can be found using the formula:
Curved surface area = 2 * pi * radius * height
Given that the radius is 5 centimeters and the height is 15 centimeters, we can substitute these values into the formula:
Curved surface area = 2 * 3.14 * 5 * 15
Curved surface area ≈ 471 square centimeters
The area of each circular base can be found using the formula:
Area of base = pi * radius^2
Given that the radius is 5 centimeters, we can substitute this value into the formula:
Area of base = 3.14 * 5^2
Area of base ≈ 78.5 square centimeters
Since there are two circular bases, we need to multiply the area of one base by 2:
Total area of bases = 2 * 78.5
Total area of bases = 157 square centimeters
To find the total surface area, we add the curved surface area and the total area of the bases:
Total surface area = Curved surface area + Total area of bases
Total surface area ≈ 471 + 157
Total surface area ≈ 628 square centimeters
Therefore, the surface area of the cylinder is approximately 628 square centimeters.