A can of carrots has a diameter of 2.5 inches and 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 and round your answer to the nearest inch.
show work/steps/how to do it
1.67 in.^2
2.35 in.^2
3.24 in.^2
4.27 in.^2
The label on the can will wrap around the entire circumference of the can, which can be found using the formula:
circumference = diameter * pi
The diameter of the can is given as 2.5 inches, so the circumference is:
circumference = 2.5 inches * 3.14 = 7.85 inches
Now, the label will also need to cover the entire height of the can, which is 3.5 inches.
To find the surface area of the label, we can multiply the circumference by the height:
surface area = circumference * height = 7.85 inches * 3.5 inches = 27.48 square inches
Rounding this to the nearest inch, the answer is 27 square inches.
So the correct answer is 27 square inches, which is closest to the option 3.24 in.^2.