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
To find the surface area of the oblique cylinder, we first need to find the lateral surface area and the top and bottom surface area separately, and then add them together.
1. Lateral Surface Area:
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2 * pi * radius * height
Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 5 * 15 = 471 cubic centimeters
2. Top and Bottom Surface Area:
The top and bottom surface area of a cylinder can be calculated using the formula for the area of a circle:
Top and Bottom Surface Area = 2 * pi * radius^2
Plugging in the values:
Top and Bottom Surface Area = 2 * 3.14 * 5^2 = 2 * 3.14 * 25 = 157 cubic centimeters
3. Total Surface Area:
Total Surface Area = Lateral Surface Area + Top and Bottom Surface Area
Total Surface Area = 471 + 157 = 628 cubic centimeters
Therefore, the surface area of the oblique cylinder is 628 square centimeters.