A can of Olives has a diameter of 6 in and a height of 4 in how many square inches of paper will be needed for the label on the outside of the can use 3.14 150.72 376.875.36131.3
To find the surface area of the can, we need to calculate the area of the top and bottom circles, as well as the area of the curved side.
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.
Radius = Diameter / 2 = 6 in / 2 = 3 in
Area of one circle = π(3 in)^2 = 9π in^2
Since we have two circles (top and bottom), the combined area of the circles is:
2(9π in^2) = 18π in^2
To find the area of the curved side, we need to find the circumference of the circle (C) and multiply it by the height of the can (h). The formula for the circumference is C = 2πr.
Circumference = 2π(3 in) = 6π in
Area of the curved side = Circumference × height = (6π in)(4 in) = 24π in^2
Now, we can find the total surface area by adding the areas of the circles and the curved side:
Total surface area = 18π in^2 + 24π in^2 = 42π in^2
Given options: 3.14, 150.72, 376.875, 36131.3
To find the accurate measurement of the surface area, we can use the approximate value of π as 3.14 (to two decimal places):
Total surface area = 42π in^2 ≈ 42(3.14) in^2 ≈ 131.88 in^2
Therefore, the correct answer is approximately 131.88 square inches, which is closest to the option 150.72.