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.
whats the in^2?
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To find the surface area of a cylinder, we need to calculate the area of the two bases and the lateral surface area, and then add them together.
1. Start by calculating the area of the bases.
- The base of a cylinder is a circle, and the area of a circle can be found using the formula A = πr^2, where A is the area and r is the radius.
- In this case, the diameter is given as 12 inches, so the radius is half of that, which is 6 inches.
- Plugging the value of the radius into the formula, we get A = 3.14 * 6^2 = 3.14 * 36 = 113.04 square inches.
2. Next, calculate the lateral surface area.
- The lateral surface area of a cylinder can be found using the formula A = 2πrh, where A is the area, π is pi (approximately 3.14), r is the radius, and h is the height.
- Plugging in the values, we get A = 2 * 3.14 * 6 * 10 = 376.8 square inches.
3. Now we can find the total surface area.
- To get the total surface area, we add the areas of the two bases to the lateral surface area.
- Total surface area = 2(base area) + lateral surface area
= 2(113.04) + 376.8
= 226.08 + 376.8
= 602.88 square inches.
Therefore, the approximate surface area of the given cylinder is 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)(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 surface area of the cylinder is approximately 602.88 square inches.
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.