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
131.88
131.88
376.8
To find the surface area of the can, you need to find the lateral surface area of the curved part of the can and add the area of the top and bottom circles.
The lateral surface area of the curved part of the can is found by multiplying the height by the circumference of the top circle.
Circumference = 2πr
Circumference = 2 * 3.14 * (6/2)
Circumference = 2 * 3.14 * 3
Circumference = 18.84 inches
Lateral surface area = height * circumference
Lateral surface area = 4 * 18.84
Lateral surface area = 75.36 square inches
The area of the top and bottom circles is found by finding the area of a circle with radius 3 inches.
Area = πr^2
Area = 3.14 * (3^2)
Area = 3.14 * 9
Area = 28.26 square inches
Total surface area = lateral surface area + 2 * (area of top and bottom circles)
Total surface area = 75.36 + 2 * 28.26
Total surface area = 75.36 + 56.52
Total surface area = 131.88 square inches
Therefore, 131.88 square inches of paper will be needed for the label on the outside of the can.