To find the surface area of the can that needs to be covered by the label, we need to calculate the area of the curved surface of the can plus the area of the circular top and bottom.
The curved surface area of a cylinder can be calculated by multiplying the circumference of the base (which is the same as the diameter, since d = 2r) by the height.
Curved surface area = circumference of base × height = πd × h = 3.14 × 2.5 × 3.5 = 27.475 square inches (rounded to three decimal places).
The area of each circular top and bottom can be calculated using the formula for the area of a circle: A = πr².
We need to find the radius (r) of the can, which is half of the diameter.
r = d/2 = 2.5/2 = 1.25 inches.
Area of one circular end = πr² = 3.14 × 1.25² = 4.91 square inches (rounded to two decimal places).
Since there are two circular ends, the total area of the circular tops and bottoms is 2 × 4.91 = 9.82 square inches (rounded to two decimal places).
Adding the area of the curved surface and the area of the circular tops and bottoms, we get:
Total surface area = curved surface area + area of circular ends = 27.475 + 9.82 = 37.295 square inches (rounded to three decimal places).
Therefore, approximately 37 square inches of paper will be needed for the label on the outside of the can.
A can of carrots has a diameter of 2.5 inches in a height of 3.5 inches how many square inches of paper will be needed for the label on the outside of the can use 3.14 for pi around your answer to the nearest inch
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