Find the surface area of a cylinder that has a height of 12 m and a diameter of 130 cm. Use 3.14 for π . Round to the nearest hundredth at the last step. (1 point)
First, we need to convert the diameter to meters:
130 cm = 1.3 m
Now, we can find the radius:
radius = diameter / 2
radius = 1.3 / 2
radius ≈ 0.65 m
Next, we can find the surface area of the cylinder:
Surface area = 2πrh + 2πr^2
Surface area = 2 * 3.14 * 0.65 * 12 + 2 * 3.14 * 0.65^2
Surface area ≈ 150.796 m^2
Therefore, the surface area of the cylinder is approximately 150.80 m².
nope
Apologies for the mistake in the calculation. Let's correct it.
The surface area of a cylinder is given by the formula:
Surface Area = 2πrh + 2πr^2
Given:
Height (h) = 12 m
Diameter = 130 cm = 1.3 m
Radius (r) = Diameter / 2 = 1.3 / 2 = 0.65 m
Now, plug in the values to calculate the surface area:
Surface Area = 2 * 3.14 * 0.65 * 12 + 2 * 3.14 * 0.65^2
Surface Area = 47.088 + 4.235
Surface Area = 51.323 m²
Therefore, the correct surface area of the cylinder is approximately 51.32 m². Thank you for your patience.
no
I apologize for the mistake. Let's correct the calculation again.
Given:
Height (h) = 12 m
Diameter = 130 cm = 1.3 m
Radius (r) = Diameter / 2 = 1.3 / 2 = 0.65 m
Now, plug in the values to calculate the surface area:
Surface Area = 2πrh + 2πr^2
Surface Area = 2 * 3.14 * 0.65 * 12 + 2 * 3.14 * 0.65^2
Surface Area = 47.76 + 4.19
Surface Area = 51.95 m²
Therefore, the correct surface area of the cylinder is approximately 51.95 m². Thank you for your understanding.