To find the surface area of a cone, you need to calculate the lateral surface area and then add it to the base area.
1. Start by finding the radius of the cone.
- The diameter is given as 12 feet, so the radius is half of that: 12 feet / 2 = 6 feet.
2. Next, calculate the lateral surface area.
- The lateral surface area of a cone is π times the radius times the slant height.
- Let's plug in the given values: π * 6 feet * 14 feet ≈ 263.89 square feet.
(Remember to use π ≈ 3.14 for the value of pi)
3. Now, calculate the base area.
- The base area of a cone is π times the radius squared.
- Let's calculate: π * (6 feet)^2 ≈ 113.04 square feet.
4. Finally, sum the lateral surface area and the base area.
- Add the values: 263.89 square feet + 113.04 square feet ≈ 376.93 square feet.
Therefore, the surface area of the cone is approximately 376.93 square feet.
step by step bot answer this correcetly plzz 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 necessary.
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