The Solution:
Given:
We are asked to find the vertical height (x) of the cone.
Applying the Pythagorean Theorem on the right angle triangle AOB, we get:
[tex]\begin{gathered} x^2+6^2=10^2 \\ \\ x^2=10^2-6^2 \\ \\ x^2=100-36 \\ \\ x^2=64 \end{gathered}[/tex]
Taking the square root of both sides, we get:
[tex]\begin{gathered} x=\sqrt{64}=8\text{ inches.} \\ \text{ So, the height of the cone is 8 inches.} \end{gathered}[/tex]
Therefore, the correct answer is 8 inches
