To find the surface area of an oblique cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The area of a circular base can be found using the formula A = πr^2, where A represents the area and r represents the radius. In this case, the radius is given as 5 centimeters. So, the area of one base is A = 3.14(5)^2 = 3.14(25) = 78.5 square centimeters.
The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A represents the area, r represents the radius, and h represents the height. In this case, the height is given as 15 centimeters. So, the lateral surface area is A = 2(3.14)(5)(15) = 471 square centimeters.
Adding the area of the two bases and the lateral surface area, we get the total surface area of the oblique cylinder as 78.5 + 471 = 549.5 square centimeters.
Therefore, the correct answer is 549.5 square centimeters.
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
533.8 square centimeters
533.8 square centimeters
628 square centimeters
628 square centimeters
628 centimeters
628 centimeters
1,099 square centimeters
1,099 square centimeters
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To find the surface area of the oblique cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.
The area of a circular base can be found using the formula A = πr^2, where A represents the area and r represents the radius. In this case, the radius is given as 5 centimeters. So, the area of one base is A = 3.14(5)^2 = 3.14(25) = 78.5 square centimeters.
The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A represents the area, r represents the radius, and h represents the height. In this case, the height is given as 15 centimeters. So, the lateral surface area is A = 2(3.14)(5)(15) = 471 square centimeters.
Adding the area of the two bases and the lateral surface area, we get the total surface area of the oblique cylinder as 78.5 + 78.5 + 471 = 628 square centimeters.
Therefore, the correct answer is 628 square centimeters.
To find the surface area of the oblique cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.
The area of a circular base can be found using the formula A = πr^2, where A represents the area and r represents the radius. In this case, the radius is given as 5 centimeters. So, the area of one base is A = 3.14(5)^2 = 3.14(25) = 78.5 square centimeters.
The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A represents the area, r represents the radius, and h represents the height. In this case, the height is given as 15 centimeters. So, the lateral surface area is A = 2(3.14)(5)(15) = 471 square centimeters.
Adding the area of the two bases and the lateral surface area, we get the total surface area of the oblique cylinder as 78.5 + 78.5 + 471 = 628 square centimeters.
Therefore, the correct answer is 628 square centimeters.
Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
ft2
ft2
To find the surface area of the outside of the cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.
The area of a circular base can be found using the formula A = πr^2, where A represents the area and r represents the radius. In this case, the radius is given as 4 feet. So, the area of one base is A = 3.14(4)^2 = 3.14(16) = 50.24 square feet.
The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A represents the area, r represents the radius, and h represents the height. In this case, the height is given as 3 feet. So, the lateral surface area is A = 2(3.14)(4)(3) = 75.36 square feet.
Adding the area of the two bases and the lateral surface area, we get the total surface area of the outside of the cylinder as 50.24 + 50.24 + 75.36 = 175.84 square feet.
Therefore, the surface area of the outside of the cylinder is approximately 175.8 square feet.
The area of a circular base can be found using the formula A = πr^2, where A represents the area and r represents the radius. In this case, the radius is given as 4 feet. So, the area of one base is A = 3.14(4)^2 = 3.14(16) = 50.24 square feet.
The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A represents the area, r represents the radius, and h represents the height. In this case, the height is given as 3 feet. So, the lateral surface area is A = 2(3.14)(4)(3) = 75.36 square feet.
Adding the area of the two bases and the lateral surface area, we get the total surface area of the outside of the cylinder as 50.24 + 50.24 + 75.36 = 175.84 square feet.
Therefore, the surface area of the outside of the cylinder is approximately 175.8 square feet.