To find the surface area of the can that needs to be covered by the label, we need to find the surface area of the curved part of the can and the surface area of the top and bottom.
The curved part of the can is like the lateral surface area of a cylinder, which is given by the formula:
2πrh
where π is approximately 3.14, r is the radius (half the diameter), and h is the height.
In this case, the radius is 6/2 = 3 inches and the height is 4 inches.
So the surface area of the curved part is:
2 * 3.14 * 3 * 4 = 75.36 square inches
The top and bottom of the can are like the area of a circle, which is given by the formula:
πr^2
Again, the radius is 3 inches.
So the surface area of the top and bottom is:
2 * 3.14 * 3^2 = 56.52 square inches
Adding up the surface area of the curved part and the top and bottom, we get:
75.36 + 56.52 = 131.88 square inches
Therefore, 131.88 square inches of paper will be needed for the label on the outside of the can.
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
1 answer
1 answer