Question

What is the diameter, in inches of cone with height of 13 inches

and radius of is inches? Justify your answer by showing work or
drawing picture

Answer 1

The diameter of the cone is 8 inches.

Step-by-step explanation:

To find the diameter of the cone, we can use the formula for the diameter of a cone, which is twice the radius. Given that the radius is 4 inches, we multiply it by 2 to get the diameter. Therefore, the diameter is 8 inches.

In mathematical terms:

`\[ \text{Diameter} = 2 * \text{Radius} \]`

`\[ \text{Diameter} = 2 * 4 \, \text{inches} = 8 \, \text{inches} \]`

So, the cone with a height of 13 inches and a radius of 4 inches has a diameter of 8 inches.

This calculation is based on the geometric properties of a cone, where the diameter is twice the radius. It's a straightforward calculation that doesn't involve complex steps. Understanding the relationship between the diameter and radius of a cone is crucial for solving such problems.