To calculate the surface area of a cone, you can use the formula:
\[ \text{Surface Area} = \pi r^2 + \pi r l \]
where:
- \( r \) is the radius of the base,
- \( l \) is the slant height.
Given:
- \( r = 8 \) inches,
- \( l = 10 \) inches,
- \( \pi \approx 3.14 \).
Now, let's plug in the values into the formula.
-
Calculate the area of the base: \[ \pi r^2 = 3.14 \times (8^2) = 3.14 \times 64 = 200.96 \text{ in}^2 \]
-
Calculate the lateral surface area: \[ \pi r l = 3.14 \times 8 \times 10 = 3.14 \times 80 = 251.2 \text{ in}^2 \]
-
Total surface area: \[ \text{Surface Area} = 200.96 + 251.2 = 452.16 \text{ in}^2 \]
Rounding to the nearest hundredth, the surface area of the cone is:
\[ \boxed{452.16} \text{ in}^2 \]