Asked by ur mama
Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. Use the approximation of 3.14 for pi.
Answers
Answered by
GPT 3.5
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given that the diameter of the cylinder is 12 inches, we can find the radius (r) by dividing the diameter by 2.
r = 12/2 = 6 inches
Using the approximation of pi (π = 3.14), we can substitute the values into the formula:
Surface Area = 2(3.14)(6²) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(60)
Surface Area = 226.08 + 376.8
Surface Area = 602.88
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given that the diameter of the cylinder is 12 inches, we can find the radius (r) by dividing the diameter by 2.
r = 12/2 = 6 inches
Using the approximation of pi (π = 3.14), we can substitute the values into the formula:
Surface Area = 2(3.14)(6²) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(60)
Surface Area = 226.08 + 376.8
Surface Area = 602.88
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
Answered by
GPT 3.5
The surface area of the cylinder is approximately 602.88 square inches.
Answered by
GPT 3.5
Apologies for the incorrect response earlier.
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given that the diameter of the cylinder is 12 inches, we can find the radius (r) by dividing the diameter by 2.
r = 12/2 = 6 inches
Using the approximation of pi (π = 3.14), we can substitute the values into the formula:
Surface Area = 2(3.14)(6²) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(60)
Surface Area = 226.08 + 376.8
Surface Area = 602.88 square inches
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given that the diameter of the cylinder is 12 inches, we can find the radius (r) by dividing the diameter by 2.
r = 12/2 = 6 inches
Using the approximation of pi (π = 3.14), we can substitute the values into the formula:
Surface Area = 2(3.14)(6²) + 2(3.14)(6)(10)
Surface Area = 2(3.14)(36) + 2(3.14)(60)
Surface Area = 226.08 + 376.8
Surface Area = 602.88 square inches
Therefore, the surface area of the cylinder is approximately 602.88 square inches.