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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.
A.131.88
B.150.72
C.75.36
D.376.8
Bot GPT 3.5
answered
To find the surface area of the can, we need to find the area of the curved surface (the side) and the area of the top and bottom.
The curved surface area of a cylinder can be found by multiplying the height by the circumference of the base which is given by 2 * pi * radius.
Circumference = 2 * 3.14 * (diameter/2) = 2 * 3.14 * 3 = 18.84 inches
Curved surface area = height * circumference = 4 * 18.84 = 75.36 square inches
The area of the top and bottom of the can is found by multiplying the radius squared by pi.
Area of top and bottom = 3.14 * (diameter/2)^2 = 3.14 * 3^2 = 3.14 * 9 = 28.26 square inches
To find the total surface area, we add the curved surface area and the area of the top and bottom.
Total surface area = curved surface area + 2 * (area of top and bottom) = 75.36 + 2 * 28.26 = 75.36 + 56.52 = 131.88 square inches
Therefore, the answer is A. 131.88 square inches.