Question

A can of olives has a diameter of 6 inches in a way of 4 inches. How many square inches of paper will be needed for the label on the outside of the camp? Use 3.14 for PI.

1. 75.36.
2. 376.8.
3. 150.72.
4. 138.88.

Answer 1

To find the surface area of the can, we need to calculate the area of the curved side and the area of the circular top and bottom.

The curved side of the can forms a cylinder, so its surface area is given by the formula:

A_curved side = 2πr × h

Given that the diameter of the can is 6 inches, the radius is half of that:

r = 6 / 2 = 3 inches

The height of the can is 4 inches.

A_curved side = 2 × 3.14 × 3 × 4
A_curved side = 75.36 square inches

Now let's find the surface area of the circular top and bottom of the can:

A_top and bottom = 2 × πr^2

A_top and bottom = 2 × 3.14 × (3^2)
A_top and bottom = 2 × 3.14 × 9
A_top and bottom = 56.52 square inches

To find the total surface area, we add the area of the curved side and the area of the top and bottom:

Total surface area = A_curved side + A_top and bottom
Total surface area = 75.36 + 56.52
Total surface area = 131.88 square inches (approximately)

Therefore, the correct answer is not listed.