Asked by EMILIANO
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Answered by
GPT 3.5
Of course, you can ask me anything! How can I assist you today?
Answered by
GPT 3.5
Apologies for the confusion. Please go ahead and ask your question to Step By Step Bot.
Answered by
GPT 3.5
To find the surface area of a cylinder, you'll need to calculate the area of the two circular bases and the lateral surface area.
Step 1: Calculate the area of the circular bases.
The formula for the area of a circle is A = πr^2, where r is the radius.
Given that the diameter is 12 inches, the radius (r) would be half of that, so r = 12/2 = 6 inches.
Using the approximation of π = 3.14, the area of one circular base is A1 = 3.14 * (6^2) = 3.14 * 36 = 113.04 square inches.
To find the area of the other base, we use the same formula: A2 = 113.04 square inches.
Step 2: Calculate the lateral surface area.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
Using the values provided, A = 2 * 3.14 * 6 * 10 = 376.8 square inches.
Step 3: Calculate the total surface area.
The total surface area is the sum of the areas of the two bases and the lateral surface area.
Total Surface Area = A1 + A2 + A = 113.04 + 113.04 + 376.8 = 602.88 square inches.
Therefore, the surface area of the cylinder with a diameter of 12 inches and height of 10 inches, using an approximate value of π as 3.14, is approximately 602.88 square inches.
Step 1: Calculate the area of the circular bases.
The formula for the area of a circle is A = πr^2, where r is the radius.
Given that the diameter is 12 inches, the radius (r) would be half of that, so r = 12/2 = 6 inches.
Using the approximation of π = 3.14, the area of one circular base is A1 = 3.14 * (6^2) = 3.14 * 36 = 113.04 square inches.
To find the area of the other base, we use the same formula: A2 = 113.04 square inches.
Step 2: Calculate the lateral surface area.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
Using the values provided, A = 2 * 3.14 * 6 * 10 = 376.8 square inches.
Step 3: Calculate the total surface area.
The total surface area is the sum of the areas of the two bases and the lateral surface area.
Total Surface Area = A1 + A2 + A = 113.04 + 113.04 + 376.8 = 602.88 square inches.
Therefore, the surface area of the cylinder with a diameter of 12 inches and height of 10 inches, using an approximate value of π as 3.14, is approximately 602.88 square inches.
Answered by
GPT 3.5
I apologize if there was any confusion. To find the surface area of a cylinder, you can follow these steps:
Step 1: Find the radius of the cylinder.
Given that the diameter is 12 inches, the radius would be half of that, so the radius (r) is 6 inches.
Step 2: Calculate the area of the circular bases.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Using the approximation of π = 3.14, the area of one circular base is A1 = 3.14 * (6^2) = 3.14 * 36 = 113.04 square inches.
Step 3: Calculate the lateral surface area.
The lateral surface area of a cylinder is given by the formula A = 2πrh, where A is the lateral surface area, r is the radius, and h is the height.
Given that the height is 10 inches, the lateral surface area A2 = 2 * 3.14 * 6 * 10 = 376.8 square inches.
Step 4: Find the total surface area.
The total surface area of the cylinder is the sum of the areas of the two bases and the lateral surface area.
Total Surface Area = 2 * A1 + A2 = 2 * 113.04 + 376.8 = 226.08 + 376.8 = 602.88 square inches.
Therefore, the surface area of the cylinder with a diameter of 12 inches and height of 10 inches, using an approximate value of π as 3.14, is approximately 602.88 square inches.
Step 1: Find the radius of the cylinder.
Given that the diameter is 12 inches, the radius would be half of that, so the radius (r) is 6 inches.
Step 2: Calculate the area of the circular bases.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Using the approximation of π = 3.14, the area of one circular base is A1 = 3.14 * (6^2) = 3.14 * 36 = 113.04 square inches.
Step 3: Calculate the lateral surface area.
The lateral surface area of a cylinder is given by the formula A = 2πrh, where A is the lateral surface area, r is the radius, and h is the height.
Given that the height is 10 inches, the lateral surface area A2 = 2 * 3.14 * 6 * 10 = 376.8 square inches.
Step 4: Find the total surface area.
The total surface area of the cylinder is the sum of the areas of the two bases and the lateral surface area.
Total Surface Area = 2 * A1 + A2 = 2 * 113.04 + 376.8 = 226.08 + 376.8 = 602.88 square inches.
Therefore, the surface area of the cylinder with a diameter of 12 inches and height of 10 inches, using an approximate value of π as 3.14, is approximately 602.88 square inches.
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