Alright, let's proceed step-by-step.
1. Determine the radius of the cone:
- The diameter of the cone is given as 8.
- The radius \( r \) is half of the diameter, hence:
[tex]\[
r = \frac{\text{Diameter}}{2} = \frac{8}{2} = 4.0
\][/tex]
2. Set up the Pythagorean Theorem:
- The Pythagorean Theorem states that:
[tex]\[
a^2 + b^2 = c^2
\][/tex]
- In this case, we'll be using the radius \( r \) as \( a \). So, \( a \) is 4.0.
- Substitute this value into the Pythagorean Theorem:
[tex]\[
4.0^2 + b^2 = c^2
\][/tex]
Therefore, the equation set up using the given values is:
[tex]\[
4.0^2 + b^2 = c^2
\][/tex]
