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
533.8 square centimeters
533.8 square centimeters
628 centimeters
628 centimeters
628 square centimeters
628 square centimeters
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To find the surface area of an oblique cylinder, we need to find the areas of the two bases and the lateral surface area.
The area of each base of the cylinder is given by the formula A = πr^2, where r is the radius.
Using the approximation π = 3.14 and r = 5, we can calculate the area of one base:
A_base = 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters
Since there are two bases, the total area of the two bases is 2 * A_base = 2 * 78.5 = 157 square centimeters.
The lateral surface area of a cylinder can be found using the formula A_lateral = 2πrh, where r is the radius and h is the height.
Using the approximation π = 3.14, r = 5, and h = 15, we can calculate the lateral surface area:
A_lateral = 2 * 3.14 * 5 * 15 = 3.14 * 150 = 471 square centimeters.
The total surface area of the cylinder is the sum of the area of the two bases and the lateral surface area:
A_total = 157 + 471 = 628 square centimeters.
Therefore, the surface area of the cylinder is 628 square centimeters.