Answered

First, we must set up our equation using the Pythagorean Theorem.

[tex]\[
\begin{array}{c}
a^2 + b^2 = c^2 \\
[?]^2 + b^2 = {}^2
\end{array}
\][/tex]

Hint: Plug in the value of the cone's radius for [tex]\(a\)[/tex]. The diameter of the cone is 8, so the radius is half this value.



Answer :

GinnyAnswer
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]