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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
533.8 square centimeters
533.8 square centimeters
628 square centimeters
628 square centimeters
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To find the surface area of the cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of each base can be calculated using the formula: A_base = π * r^2, where r is the radius.
A_base = 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters.
The lateral surface area can be calculated using the formula: A_lateral = 2 * π * r * h, where h is the height.
A_lateral = 2 * 3.14 * 5 * 15 = 2 * 3.14 * 75 = 470.8 square centimeters.
The total surface area of the cylinder is the sum of the areas of the two bases and the lateral surface area.
Total surface area = 2 * A_base + A_lateral = 2 * 78.5 + 470.8 = 157 + 470.8 = 627.8 square centimeters.
Rounded to one decimal place, the surface area of the cylinder is approximately 627.8 square centimeters. Therefore, the correct answer is 628 square centimeters.