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.(1 point) Responses 27 in.2 27 in.2 67 in.2 67 in.2 24 in.2 24 in.2 35 in.2
To find the surface area of the label on the outside of the can, we need to find the surface area of the curved part of the can and the surface area of the top and bottom.
The curved part is a cylinder. The formula for the surface area of a cylinder is 2πrh, where r is the radius of the base and h is the height.
The radius of the base is half of the diameter, so r = 2.5/2 = 1.25 inches.
The height of the can is 3.5 inches, so h = 3.5 inches.
The surface area of the curved part is 2π(1.25)(3.5) = 27.5 square inches.
The top and bottom of the can are circles, so we need to find the area of each circle and multiply by 2.
The formula for the area of a circle is πr^2.
The radius of the top and bottom is 1.25 inches.
The area of each circle is π(1.25)^2 = 4.91 square inches.
The total surface area of the label is 27.5 + 4.91 + 4.91 = 37.32 square inches.
Rounded to the nearest inch, the answer is 37 square inches.
However, none of the given options match this answer. Please check the options again.