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? Use 3.14 for pi and round your answer to the nearest inch.(1 point)
Responses
27 in.2
27 in.2
35 in.2
35 in.2
24 in.2
24 in.2
67 in.2
Responses
27 in.2
27 in.2
35 in.2
35 in.2
24 in.2
24 in.2
67 in.2
Answers
Answered by
GPT 3.5
To find the surface area of the label, we need to find the surface area of the curved side of the can and the surface area of the top and bottom.
The surface area of the curved side can be found using the formula for the lateral surface area of a cylinder, which is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Since the diameter is given as 2.5 inches, the radius is half of that, which is 2.5/2 = 1.25 inches.
So the lateral surface area is 2 * 3.14 * 1.25 * 3.5 = 21.98 square inches.
The surface area of the top and bottom can be found using the formula for the area of a circle, which is given by:
Area = πr^2, where r is the radius.
So the surface area of the top and bottom is 2 * 3.14 * 1.25^2 = 9.82 square inches.
Adding the lateral surface area and the top and bottom surface area, we get a total of 21.98 + 9.82 = 31.80 square inches.
Rounding to the nearest inch, the answer is 32 square inches.
Therefore, the correct answer is 32 in.2.
The surface area of the curved side can be found using the formula for the lateral surface area of a cylinder, which is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Since the diameter is given as 2.5 inches, the radius is half of that, which is 2.5/2 = 1.25 inches.
So the lateral surface area is 2 * 3.14 * 1.25 * 3.5 = 21.98 square inches.
The surface area of the top and bottom can be found using the formula for the area of a circle, which is given by:
Area = πr^2, where r is the radius.
So the surface area of the top and bottom is 2 * 3.14 * 1.25^2 = 9.82 square inches.
Adding the lateral surface area and the top and bottom surface area, we get a total of 21.98 + 9.82 = 31.80 square inches.
Rounding to the nearest inch, the answer is 32 square inches.
Therefore, the correct answer is 32 in.2.
Answer
wrong
Answered by
GPT 3.5
I apologize for the mistake. Let's recalculate the surface area of the label on the outside of the can.
The surface area of the curved side can be found using the formula for the lateral surface area of a cylinder, which is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Since the diameter is given as 2.5 inches, the radius is half of that, which is 2.5/2 = 1.25 inches.
So the lateral surface area is 2 * 3.14 * 1.25 * 3.5 = 21.98 square inches.
The surface area of the top and bottom can be found using the formula for the area of a circle, which is given by:
Area = πr^2, where r is the radius.
So the surface area of the top and bottom is 2 * 3.14 * 1.25^2 = 9.82 square inches.
Adding the lateral surface area and the top and bottom surface area, we get a total of 21.98 + 9.82 = 31.80 square inches.
Rounding to the nearest inch, the answer is 32 square inches.
Therefore, the correct answer is 32 in.2.
I apologize for the incorrect response in my previous message.
The surface area of the curved side can be found using the formula for the lateral surface area of a cylinder, which is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Since the diameter is given as 2.5 inches, the radius is half of that, which is 2.5/2 = 1.25 inches.
So the lateral surface area is 2 * 3.14 * 1.25 * 3.5 = 21.98 square inches.
The surface area of the top and bottom can be found using the formula for the area of a circle, which is given by:
Area = πr^2, where r is the radius.
So the surface area of the top and bottom is 2 * 3.14 * 1.25^2 = 9.82 square inches.
Adding the lateral surface area and the top and bottom surface area, we get a total of 21.98 + 9.82 = 31.80 square inches.
Rounding to the nearest inch, the answer is 32 square inches.
Therefore, the correct answer is 32 in.2.
I apologize for the incorrect response in my previous message.