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

376.8
376.8

131.88
131.88

150.72

Answer 1

To find the surface area of the can, we need to calculate the area of the top and bottom circles and the outer surface area of the cylinder.

The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter is given, we can divide it by 2 to find the radius.

The radius of the top and bottom circles of the can is 6/2 = 3 inches.
The area of each circle is A = π(3^2) = 9π square inches.

The formula for the area of the lateral surface of a cylinder is A = 2πrh, where r is the radius and h is the height.
The outer surface area of the cylinder is A = 2π(3)(4) = 24π square inches.

Now, we can calculate the total surface area by adding the areas of the circles and the outer surface area of the cylinder.
Total surface area = 2(9π) + 24π = 18π + 24π = 42π square inches.

Since we are using 3.14 for π, the total surface area is approximately 42(3.14) = 131.88 square inches.

Therefore, the correct answer is 131.88 square inches.