Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point)
Responses
471 inches
471 inches
345.4 square inches
345.4 square inches
314 square inches
314 square inches
471 square inches chose a answer from the list givin below
The correct answer is 471 square inches.
Surface Area of Cylinders Quick Check
2 of 52 of 5 Items
Question
Use the image to answer the question.
A cylinder is labeled with a height of 8 yards and a radius of 7 yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
329.7 square yards
329.7 square yards
252.77 square yards
252.77 square yards
252.77 yards
252.77 yards
577.76 square yards chose a answer from the list givin below
To find the surface area of the cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of each base can be calculated using the formula A = πr^2, where r is the radius. Since the radius is 7 yards, the area of each base is:
A = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards
The lateral surface area can be calculated using the formula A = 2πrh, where r is the radius and h is the height. Since the radius is 7 yards and the height is 8 yards, the lateral surface area is:
A = 2 * 3.14 * 7 * 8 = 351.04 square yards
Now, we can calculate the total surface area by adding the areas of the two bases and the lateral surface area:
Total surface area = (2 * 153.86) + 351.04 = 307.72 + 351.04 = 658.76 square yards
The closest answer from the options given is 577.76 square yards, so that is the correct answer.
Surface Area of Cylinders Quick Check
3 of 53 of 5 Items
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
62.8
62.8
25.12
25.12
75.36
75.36
32.97
32.97
To find the surface area of the cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of each base can be calculated using the formula A = πr^2, where r is the radius. Since the radius is 2 yards, the area of each base is:
A = 3.14 * 2^2 = 3.14 * 4 = 12.56 square yards
The lateral surface area can be calculated using the formula A = 2πrh, where r is the radius and h is the height. Since the radius is 2 yards and the height is 3 yards, the lateral surface area is:
A = 2 * 3.14 * 2 * 3 = 37.68 square yards
Now, we can calculate the total surface area by adding the areas of the two bases and the lateral surface area:
Total surface area = (2 * 12.56) + 37.68 = 25.12 + 37.68 = 62.8 square yards
Therefore, the surface area of the cylinder is 62.8 square yards.
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
75.36
75.36
150.72
150.72
376.8
376.8
131.88
131.88
To find the surface area of the can for the label, we need to calculate the area of the curved surface. Since the can is in the shape of a cylinder, the curved surface area is calculated using the formula A = 2πrh, where r is the radius and h is the height.
Given that the diameter of the can is 6 inches, the radius is half of that, which is 3 inches. The height of the can is 4 inches.
Therefore, the curved surface area is:
A = 2 * 3.14 * 3 * 4 = 75.36 square inches.
So, 75.36 square inches of paper will be needed for the label on the outside of the can.
A wheel of cheese has a diameter of 6 inches and a height of 2 inch. A chef is making an appetizer where the cheese will be covered with pastry. To know how much pastry is needed, the chef wants to know the surface area of the cheese wheel. What is the total surface area of the cheese wheel in square inches? Use 3.14 for pi.(1 point)
Responses
94.2 square inches
94.2 square inches
301.44 square inches
301.44 square inches
62.8 square inches
62.8 square inches
37.68 square inches
37.68 square inches
To find the total surface area of the cheese wheel, we need to calculate the area of the curved surface and the area of both circular bases.
The curved surface area can be calculated using the formula for the lateral surface area of a cylinder A = 2πrh, where r is the radius and h is the height. Given that the diameter of the cheese wheel is 6 inches, the radius is 3 inches, and the height is 2 inches, we have:
A = 2 * 3.14 * 3 * 2 = 37.68 square inches
The area of each circular base can be calculated using the formula for the area of a circle A = πr^2. Thus, the area of each base is:
A = 3.14 * 3^2 = 3.14 * 9 = 28.26 square inches
We have two bases, so the total area of the bases is:
2 * 28.26 = 56.52 square inches
To find the total surface area, we add the area of the curved surface and the area of the bases:
Total surface area = curved surface area + area of bases = 37.68 + 56.52 = 94.2 square inches
Therefore, the total surface area of the cheese wheel is 94.2 square inches.