To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the curved surface area.
The area of the circular base is given by the formula A = πr^2, where A is the area and r is the radius. Plugging in the values, we get A = 3.14 * 2^2 = 12.56 square yards.
The curved surface area is given by the formula A = 2πrh, where A is the area, r is the radius, and h is the height. Plugging in the values, we get A = 2 * 3.14 * 2 * 3 = 37.68 square yards.
Adding the area of the two bases and the curved surface area, we get the total surface area of the cylinder: 12.56 + 37.68 = 50.24 square yards.
Therefore, the correct answer is not given among the options.
Question
Use the image to answer the question.
A cylinder is labeled with a height of 3 yards and a radius of 2 yards.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
(1 point)
Responses
75.36
75.36
62.8
62.8
25.12
25.12
32.97
3 answers
Question
A can of olives has a diameter of 6 inches and a height of 4 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi.(1 point)
Responses
376.8
376.8
131.88
131.88
75.36
75.36
150.72
150.72
A can of olives has a diameter of 6 inches and a height of 4 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi.(1 point)
Responses
376.8
376.8
131.88
131.88
75.36
75.36
150.72
150.72
To find the surface area of the can and determine how much paper will be needed for the label, we need to calculate the lateral surface area of the cylinder.
The lateral surface area, also known as the curved surface area, is given by the formula A = 2πrh, where A is the area, r is the radius (half of the diameter), and h is the height.
Since the diameter of the can is 6 inches, the radius is 6/2 = 3 inches. The height is given as 4 inches.
Plugging in the values, we get A = 2 * 3.14 * 3 * 4 = 75.36 square inches.
Therefore, the correct answer is 75.36 square inches, which is provided as an option in the given responses.
The lateral surface area, also known as the curved surface area, is given by the formula A = 2πrh, where A is the area, r is the radius (half of the diameter), and h is the height.
Since the diameter of the can is 6 inches, the radius is 6/2 = 3 inches. The height is given as 4 inches.
Plugging in the values, we get A = 2 * 3.14 * 3 * 4 = 75.36 square inches.
Therefore, the correct answer is 75.36 square inches, which is provided as an option in the given responses.