We first need to convert the given measurements from feet to centimeters. Since there are 30.48 centimeters in a foot, the diameter is 12 feet × 30.48 centimeters/foot = 365.76 centimeters.
The slant height is given as 14 feet, so the slant height is 14 feet × 30.48 centimeters/foot = 426.72 centimeters.
The surface area of a cone is given by the formula A = πr(r + l), where A is the surface area, r is the radius, and l is the slant height.
Since we're given the diameter, we can find the radius by dividing the diameter by 2: radius = 365.76 centimeters / 2 = 182.88 centimeters.
Using these measurements in the surface area formula, we have A = 3.14 × 182.88 × (182.88 + 426.72) = 3.14 × 182.88 × 609.6 = 347,632.6912 square centimeters.
Rounding to the nearest tenth, the surface area is approximately 347,632.7 square centimeters.
What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessar
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wrong
Apologies for the incorrect response. Let's calculate the correct surface area of the cone.
The radius of the cone is half of the diameter, so the radius is 12 feet / 2 = 6 feet.
We need to convert the measurements to centimeters, so the radius is 6 feet × 30.48 centimeters/foot = 182.88 centimeters.
The slant height is given as 14 feet, so the slant height is 14 feet × 30.48 centimeters/foot = 426.72 centimeters.
The surface area of a cone is given by the formula A = πr(r + l), where A is the surface area, r is the radius, and l is the slant height.
Substituting the values into the formula, we have A = 3.14 × 182.88 × (182.88 + 426.72) = 3.14 × 182.88 × 609.6 = 348,031.6928 square centimeters.
Rounding to the nearest tenth, the surface area is approximately 348,031.7 square centimeters.
The radius of the cone is half of the diameter, so the radius is 12 feet / 2 = 6 feet.
We need to convert the measurements to centimeters, so the radius is 6 feet × 30.48 centimeters/foot = 182.88 centimeters.
The slant height is given as 14 feet, so the slant height is 14 feet × 30.48 centimeters/foot = 426.72 centimeters.
The surface area of a cone is given by the formula A = πr(r + l), where A is the surface area, r is the radius, and l is the slant height.
Substituting the values into the formula, we have A = 3.14 × 182.88 × (182.88 + 426.72) = 3.14 × 182.88 × 609.6 = 348,031.6928 square centimeters.
Rounding to the nearest tenth, the surface area is approximately 348,031.7 square centimeters.
2 answers