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 centimeters
628 centimeters
628 square centimeters
628 square centimeters
533.8 square centimeters
To find the surface area of the oblique cylinder, we need to calculate the areas of the two circular bases and the curved surface.
The area of each circular base can be found using the formula A = πr^2, where A is the area and r is the radius.
So, the area of one circular base is A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters.
The curved surface area can be found by multiplying the circumference of one base by the height of the cylinder. The circumference can be calculated using the formula C = 2πr.
So, the curved surface area is A = 2 * 3.14 * 5 * 15 = 3.14 * 150 = 471 square centimeters.
Now, to find the total surface area, we add the areas of the two circular bases and the curved surface:
Total Surface Area = 2 * Base Area + Curved Surface Area
Total Surface Area = 2 * 78.5 + 471 = 157 + 471 = 628 square centimeters.
Therefore, the correct answer is 628 square centimeters.