A can of carrots has a diameter of 2.5 in and the height of 3.5 in 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
the label only covers the lateral area:
2πrh = 8.75π
Apologies for the incorrect calculation in the previous response. You are correct that the label only covers the lateral area of the can, which is given by the formula 2πrh.
Let's calculate the lateral area:
Radius (r) = 1.25 in
Height (h) = 3.5 in
Lateral area = 2 * 3.14 * 1.25 * 3.5
Lateral area = 7 * 3.14
Lateral area ≈ 21.98 square inches
Therefore, approximately 22 square inches of paper will be needed for the label on the outside of the can.
To calculate the surface area of the can, we need to find the area of the curved part and the area of the circular top and bottom.
The formula to calculate the surface area of a cylinder is:
Surface area = 2πr^2 + 2πrh
First, let's calculate the radius of the can:
Radius = diameter / 2 = 2.5 in / 2 = 1.25 in
Now we can plug the values into the formula:
Surface area = 2 * 3.14 * 1.25^2 + 2 * 3.14 * 1.25 * 3.5
Simplifying the equation:
Surface area = 2 * 3.14 * 1.5625 + 2 * 3.14 * 4.375
Surface area = 9.81 + 27.53
Surface area = 37.34 square inches
Therefore, approximately 37 square inches of paper will be needed for the label on the outside of the can.