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
To find the surface area of the label on the outside of the can, we need to find the lateral surface area of the cylinder.
Lateral surface area of a cylinder = 2 * pi * radius * height
Radius = diameter / 2 = 6 / 2 = 3 inches
Now, substitute the values into the formula:
Lateral surface area = 2 * 3.14 * 3 * 4
Lateral surface area = 75.36 square inches
Therefore, 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 62.8 square inches 62.8 square inches 37.68 square inches 37.68 square inches 94.2 square inches 94.2 square inches 301.44 square inches
To find the total surface area of the cheese wheel, we need to calculate the lateral surface area of the cylinder (side area) and the two circular base areas.
Lateral surface area of a cylinder = 2 * pi * radius * height
Radius = diameter / 2 = 6 / 2 = 3 inches
Now, substitute the values into the formula:
Lateral surface area = 2 * 3.14 * 3 * 2
Lateral surface area = 37.68 square inches
The area of each circular base (top and bottom) is:
Area = pi * radius^2
Area = 3.14 * 3^2 = 3.14 * 9 = 28.26 square inches
Now, calculate the total surface area of the cheese wheel:
Total surface area = 2 * 28.26 (for both circular bases) + 37.68 (lateral surface area)
Total surface area = 56.52 + 37.68 = 94.2 square inches
Therefore, the total surface area of the cheese wheel is 94.2 square inches.
What is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? Use 3.14 for pi.(1 point) show your work Responses 785 square inches 785 square inches 471 square inches 471 square inches 2,198 square inches 2,198 square inches 1,177.5 square inches
To find the surface area of a cone, we need to calculate the lateral surface area and the area of the base.
The lateral surface area of a cone can be calculated using the formula:
Lateral surface area = π * radius * slant height
Given that the radius is 10 inches and the slant height is 15 inches:
Lateral surface area = 3.14 * 10 * 15
Lateral surface area = 3.14 * 150
Lateral surface area = 471 square inches
The base area of a cone can be calculated using the formula for the area of a circle:
Base area = π * radius^2
Given that the radius is 10 inches:
Base area = 3.14 * 10^2
Base area = 3.14 * 100
Base area = 314 square inches
The total surface area of the cone is the sum of the lateral surface area and the base area:
Total surface area = Lateral surface area + Base area
Total surface area = 471 + 314
Total surface area = 785 square inches
Therefore, the surface area of the cone is 785 square inches.