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

533.8 square centimeters
533.8 square centimeters

628 centimeters
628 centimeters

1 answer

To find the surface area of an oblique cylinder, we need to calculate the lateral surface area and the area of the two bases.

The lateral surface area of a cylinder is given by the formula: Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Given that the radius is 5 centimeters and the height is 15 centimeters, the lateral surface area is: 2 * 3.14 * 5 * 15 = 471 square centimeters.

The area of the two bases can be calculated using the formula: Base Area = πr^2, where r is the radius.

Given that the radius is 5 centimeters, the area of the two bases is: 2 * 3.14 * (5)^2 = 157 square centimeters.

The total surface area of the cylinder is the sum of the lateral surface area and the area of the two bases: Surface Area = Lateral Surface Area + Base Area = 471 + 157 = 628 square centimeters.

Therefore, the correct answer is 628 square centimeters.
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