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
To find the surface area of the can, we need to find the area of the curved part (the lateral surface area) and the area of the top and bottom circles.
The lateral surface area can be found using the formula:
Lateral surface area = circumference of the base x height of the can
The circumference of the base (which is the same as the circumference of the top and bottom circles) can be found using the formula:
Circumference = pi x diameter
Given that the diameter of the can is 6 inches, we can find the circumference:
Circumference = 3.14 x 6 = 18.84 inches
Now we can find the lateral surface area:
Lateral surface area = 18.84 inches x 4 inches = 75.36 square inches
The area of each circle (the top and bottom of the can) can be found using the formula:
Area = pi x radius^2
Given that the radius is half of the diameter, the radius of the can is 6/2 = 3 inches.
Now we can find the area of each circle:
Area = 3.14 x 3^2 = 3.14 x 9 = 28.26 square inches
Since there are two circles (top and bottom), the total area for both circles is:
Total circle area = 2 x 28.26 = 56.52 square inches
Now we can find the total surface area by adding the lateral surface area and the total circle area:
Total surface area = Lateral surface area + Total circle area
Total surface area = 75.36 square inches + 56.52 square inches
Total surface area = 131.88 square inches
Therefore, approximately 131.88 square inches of paper will be needed for the label on the outside of the can.