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 p
To find the surface area of the can, we need to find the area of the circle that makes up the top and bottom of the can, as well as the area of the rectangle that makes up the side of the can.
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.
The diameter of the can is 6 inches, so the radius is half of that, or 6/2 = 3 inches.
Using the formula, the area of each circle is A = 3.14 * (3 inches)^2 = 3.14 * 9 square inches = 28.26 square inches.
The height of the can is 4 inches.
The circumference of the circles that make up the top and bottom of the can is given by the formula C = 2πr, where r is the radius.
Using the formula, the circumference of each circle is C = 2 * 3.14 * 3 inches = 18.84 inches.
The rectangle that makes up the side of the can is formed by "unrolling" the height of the cylinder, resulting in a rectangle with a width equal to the circumference of the circles and a length equal to the height of the can.
So, the area of the rectangle is A = 18.84 inches * 4 inches = 75.36 square inches.
Thus, the total surface area of the can is 2 * 28.26 square inches + 75.36 square inches = 56.52 square inches + 75.36 square inches = <<2*28.26+75.36=159.12>>159.12 square inches.
Therefore, 159.12 square inches of paper will be needed for the label on the outside of the can.