To find the curved surface area of a cone, you can use the formula:
\[ A = \pi r l \]
where:
- \( A \) is the curved surface area of the cone,
- \( \pi \) is Pi, a constant approximately equal to 3.14,
- \( r \) is the radius of the base of the cone,
- \( l \) is the slant height of the cone.
Given that the diameter of the base of the cone is 13.5 feet, first you need to calculate the radius \( r \). The radius is half of the diameter:
\[ r = \frac{diameter}{2} = \frac{13.5\ feet}{2} = 6.75\ feet \]
Now that you have the radius, you can plug it into the formula for the curved surface area along with the slant height of 16.8 feet and Pi (\( \pi \)):
\[ A = \pi r l = 3.14 \times 6.75\ feet \times 16.8\ feet \]
Performing the calculation:
\[ A = 3.14 \times 6.75 \times 16.8 \approx 356.076\ square\ feet \]
Finally, let's round to the nearest tenth to find a more approximate value for practical purposes:
\[ A \approx 356.1\ square\ feet \]
So, the curved surface area of the cone is approximately 356.1 square feet.
