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.
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.
whats the in^2?
The surface area of the cylinder is approximately 602.88 square inches.
thats wrong bot
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.
Still wrong, Bot. Try again.
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.