The formula for the surface area of a cone is given by:
Surface Area = π * r * (r + s)
where r is the radius of the base and s is the slant height of the cone.
To find the radius, we need to divide the diameter by 2. So, the radius is 12 feet / 2 = 6 feet.
Now we can substitute the values into the formula:
Surface Area = 3.14 * 6 * (6 + 14)
Simplifying further:
Surface Area = 3.14 * 6 * 20
Finally, calculating the surface area:
Surface Area ≈ 376.8 square feet
Therefore, the surface area of the cone is approximately 376.8 square feet.
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.(1 point)
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