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) 150.72 376.8 75.36 131.88
To determine the amount of paper needed for the label on the can, we need to find the surface area of the can.
The surface area of the can is given by the sum of the areas of its curved surface (the sides) and its two circular bases.
The area of the curved surface can be found by multiplying the height of the can by the circumference of its base.
The circumference of the base can be found using the formula C = πd, where d is the diameter of the base.
C = π * 6 = 6π
So, the area of the curved surface is 4 * 6π = 24π square inches.
The area of each circular base is given by the formula A = πr^2, where r is the radius of the base.
The radius is half the diameter, so r = 6/2 = 3 inches.
The area of each circular base is therefore π * 3^2 = 9π square inches.
Since there are two circular bases, the total area of the bases is 2 * 9π = 18π square inches.
Adding the area of the curved surface and the bases, we get 24π + 18π = 42π square inches.
Finally, to evaluate the result, we use the value of pi as 3.14.
42π = 42 * 3.14 ≈ 131.88
Therefore, the answer is 131.88.