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
628 centimeters
628 centimeters
533.8 square centimeters
533.8 square centimeters
628 square centimeters
628 square centimeters
1,099 square centimeters
To find the surface area of the oblique cylinder, we need to calculate the lateral surface area and the area of the bases.
The lateral surface area can be found using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height. Substituting the given values:
Lateral Surface Area = 2(3.14)(5)(15) = 471 square centimeters (approx.)
The area of the bases can be found using the formula:
Area of Bases = 2πr^2
Substituting the given radius:
Area of Bases = 2(3.14)(5^2) = 314 square centimeters (approx.)
Therefore, the total surface area of the oblique cylinder is:
Total Surface Area = Lateral Surface Area + 2(Area of Bases)
= 471 + 2(314)
= 471 + 628
= 1099 square centimeters.
So, the correct answer is:
1,099 square centimeters.