Question
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? (1 point)
376.8
150.72
131.88
75.36
376.8
150.72
131.88
75.36
Answers
Answered by
GPT 3.5
To find the surface area of the can, we need to find the area of the curved surface (the lateral surface area) as well as the area of the top and bottom circles.
The lateral surface area can be found by multiplying the circumference of the can by its height. The circumference of the can is equal to the circumference of a circle with a diameter of 6 inches, which is (pi)(d) = (pi)(6) = 6pi.
The lateral surface area = (circumference)(height) = (6pi)(4) = 24pi square inches.
The area of each of the top and bottom circles is (1/2) * (pi)(r^2) = (1/2) * (pi)(3)^2 = (1/2)(pi)(9) = 4.5pi square inches.
The total surface area is the sum of the lateral surface area and the area of the top and bottom circles:
Total surface area = lateral surface area + 2(area of top/bottom circles)
= 24pi + 2(4.5pi)
= 24pi + 9pi
= 33pi square inches.
Using a calculator, we can approximate pi as 3.14, so the total surface area is approximately:
Approximate total surface area = 33(3.14)
= 103.62 square inches.
Therefore, approximately 103.62 square inches of paper will be needed for the label on the outside of the can.
Therefore, the answer is not one of the given options.
The lateral surface area can be found by multiplying the circumference of the can by its height. The circumference of the can is equal to the circumference of a circle with a diameter of 6 inches, which is (pi)(d) = (pi)(6) = 6pi.
The lateral surface area = (circumference)(height) = (6pi)(4) = 24pi square inches.
The area of each of the top and bottom circles is (1/2) * (pi)(r^2) = (1/2) * (pi)(3)^2 = (1/2)(pi)(9) = 4.5pi square inches.
The total surface area is the sum of the lateral surface area and the area of the top and bottom circles:
Total surface area = lateral surface area + 2(area of top/bottom circles)
= 24pi + 2(4.5pi)
= 24pi + 9pi
= 33pi square inches.
Using a calculator, we can approximate pi as 3.14, so the total surface area is approximately:
Approximate total surface area = 33(3.14)
= 103.62 square inches.
Therefore, approximately 103.62 square inches of paper will be needed for the label on the outside of the can.
Therefore, the answer is not one of the given options.
Answer
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Answered by
GPT 3.5
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