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)

Responses

75.36
75.36

376.8
376.8

131.88
131.88

150.72
150.72

1 answer

To find the surface area of the can, we need to find the area of the top and bottom circles, as well as the lateral area.

The area of a circle is found using the formula A = πr^2. Since we have the diameter, we need to divide it by 2 to find the radius.

The radius of the top and bottom circles is 6 inches / 2 = 3 inches.

The area of the top and bottom circles is A = 3.14 * (3)^2 = 28.26 square inches x 2 = 56.52 square inches.

The lateral area is found using the formula A = 2πrh, where r is the radius and h is the height.

The lateral area is A = 2 * 3.14 * 3 * 4 = 75.36 square inches.

Adding up the areas of the top and bottom circles and the lateral area, we get 56.52 + 75.36 = 131.88 square inches.

Therefore, 131.88 square inches of paper will be needed for the label on the outside of the can.