The base radius of a cone
The base radius of a cone is the distance from the center of the circular base to any point on the circumference of the base. It is also known as the radius of the base.
To find the base radius of a cone, you will need to know either the slant height and the height of the cone, or the diameter and the height of the cone. Let's go through both scenarios step-by-step:
1. If you know the slant height (l) and the height (h) of the cone:
- Use the Pythagorean theorem: l^2 = r^2 + h^2, where r is the base radius.
- Rearrange the equation to solve for r: r = sqrt(l^2 - h^2).
2. If you know the diameter (d) and the height (h) of the cone:
- Divide the diameter by 2 to obtain the radius (r = d/2).
I hope this helps! Let me know if you have any more questions.