To find the surface area of the can, we need to find the area of the curved surface (the lateral surface area) and the area of the top and bottom surfaces.
The formula for the lateral surface area of a cylinder is given by: LSA = 2πrh, where r is the radius and h is the height.
In this case, the radius (half the diameter) is 6/2 = 3 inches.
So, the lateral surface area of the can is: LSA = 2π(3)(4) = 24π square inches.
The formula for the area of a circle (the top and bottom surfaces of the can) is given by: A = πr^2.
In this case, the radius is 3 inches.
So, the area of each circle is: A = π(3)^2 = 9π square inches.
Since we have two circles (top and bottom), the total area of the circles is: 2(9π) = 18π square inches.
The total surface area of the can is the sum of the lateral surface area and the area of the circles:
Surface Area = LSA + Area of Circles = 24π + 18π = 42π square inches.
Approximating π as 3.14 (as given in the question), we have:
Surface Area ≈ 42(3.14) ≈ 131.88 square inches.
Therefore, 131.88 square inches of paper will be needed for the label on the outside of the can.
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)
Responses
75.36
75.36
376.8
376.8
150.72
150.72
131.88
1 answer