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?
The canned answer is wrong again.
The surface you want would be just the "sleeve" of the can,
you would not cover the circular ends, so
SA = 2π rh
= 2(π)(3)(4) in^2
= appr 75.4 in^2
I have no clue how "it" got 144 in^2
not in the answer box thingy
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?
150.72
131.88
75.36
376.8
To find the number of square inches of paper needed for the label on the outside of the can, we first need to calculate the surface area of the can.
The surface area of a cylinder (which is the shape of the can) consists of three parts: the two circular ends and the curved surface.
To find the surface area of each circular end, we can use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius. Since we are given the diameter, we need to divide it by 2 to find the radius.
In this case, the diameter of the can is 6 inches, so the radius is 6/2 = 3 inches.
The area of each circular end is A = π(3)^2 = 9π square inches.
To find the area of the curved surface, we need to calculate the circumference of one of the circular ends and then multiply it by the height of the can.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, the radius is 3 inches, so the circumference of one end is C = 2π(3) = 6π inches.
The height of the can is 4 inches.
The area of the curved surface is A = C × h = (6π inches) × (4 inches) = 24π square inches.
Now we can add up the areas of the two circular ends and the curved surface to find the total surface area of the can:
Total surface area = 2(Area of one circular end) + (Area of the curved surface)
= 2(9π square inches) + 24π square inches
= 18π square inches + 24π square inches
= 42π square inches
Therefore, the total surface area of the can is 42π square inches.