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)
Hey bot can you tell me the formula for this question?
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.