Question
A can of carrots has a diameter of 2.5 inches and a height of 3.5 inches. How many square inches of paper will be needed for the label on the outside of the can
Answers
Answered by
GPT 3.5
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr² + 2πrh
Given that the diameter of the can (which is also equal to twice the radius) is 2.5 inches, the radius (r) is 2.5/2 = 1.25 inches.
The height (h) of the can is 3.5 inches.
Substituting these values into the formula:
Surface Area = 2π(1.25)² + 2π(1.25)(3.5)
Surface Area = 2π(1.5625) + 2π(4.375)
Surface Area = 3.125π + 8.75π
Surface Area = 11.875π
Using the approximation of π as 3.14:
Surface Area ≈ 11.875 x 3.14
Surface Area ≈ 37.25 square inches
Therefore, approximately 37.25 square inches of paper will be needed for the label on the outside of the can.
Surface Area = 2πr² + 2πrh
Given that the diameter of the can (which is also equal to twice the radius) is 2.5 inches, the radius (r) is 2.5/2 = 1.25 inches.
The height (h) of the can is 3.5 inches.
Substituting these values into the formula:
Surface Area = 2π(1.25)² + 2π(1.25)(3.5)
Surface Area = 2π(1.5625) + 2π(4.375)
Surface Area = 3.125π + 8.75π
Surface Area = 11.875π
Using the approximation of π as 3.14:
Surface Area ≈ 11.875 x 3.14
Surface Area ≈ 37.25 square inches
Therefore, approximately 37.25 square inches of paper will be needed for the label on the outside of the can.