Question

Hey I need help with this question this question has two parts to it

Answer 1

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:

`\begin{gathered} x^2+6^2=10^2 \\ \\ x^2=10^2-6^2 \\ \\ x^2=100-36 \\ \\ x^2=64 \end{gathered}`

Taking the square root of both sides, we get:

`\begin{gathered} x=√(64)=8\text{ inches.} \\ \text{ So, the height of the cone is 8 inches.} \end{gathered}`

Therefore, the correct answer is 8 inches