A can of olives has a diameter of 6 inches and a height of 4 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi.(1 point)

Question

Responses

75.36
75.36

150.72
150.72

376.8
376.8

131.88

Answer 1

To find the surface area of the outside of the can, we need to find the area of the circular top and bottom, as well as the area of the side.

The area of the top and bottom can be found using the formula for the area of a circle: A = πr^2, where r is the radius of the circle (which is half the diameter).

The radius of the top and bottom can be found by dividing the diameter by 2: r = 6 inches / 2 = 3 inches.

Now, we can calculate the area of the top and bottom: A = π(3 inches)^2 = π(9 square inches) ≈ 28.26 square inches.

The area of the side can be found by calculating the circumference of the circle and multiplying it by the height.

The circumference of a circle can be found using the formula: C = 2πr.

The circumference of the can is: C = 2π(3 inches) ≈ 18.84 inches.

Now, we can calculate the total surface area of the can: A = (2 × 28.26 square inches) + (18.84 inches × 4 inches) ≈ 56.52 square inches + 75.36 square inches ≈ 131.88 square inches.

Therefore, the label on the outside of the can will require approximately 131.88 square inches of paper.