To determine the surface area of the can, we need to find the area of the base (a circle) and the area of the lateral surface (a rectangle).
The area of the base can be found using the formula for the area of a circle: A = πr^2. Since the diameter is given (2.5 inches), we can divide it by 2 to get the radius (1.25 inches).
A = 3.14 * (1.25^2) = 4.91 square inches (rounded to the nearest inch).
The lateral surface is essentially a rectangle that wraps around the can, with one side being the height (3.5 inches) and the other side being the circumference of the base (the distance around the circle).
The circumference of a circle can be found using the formula: C = 2πr. Plugging in the radius we found earlier, we get:
C = 2 * 3.14 * 1.25 = 7.85 inches.
So, the area of the lateral surface is: A = 7.85 * 3.5 = 27.47 square inches (rounded to the nearest inch).
Therefore, the total surface area of the can is 4.91 + 27.47 = 32.38 square inches (rounded to the nearest inch).
So, we would need 32 square inches of paper for the label on the outside of the can.
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.
Responses
24 in.2
24 in.2
- no response given
27 in.2
27 in.2
- correct
35 in.2
35 in.2
- no response given
67 in.2
1 answer