Question

The diameter of the cone is 6 inches. It’s height is 4 inches. What is its slant height?

Answer 1

5 inches

Explanation:

As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:

`(height)^2+(radius)^2=(slant\:height)^2`

`4^2+(6/2)^2=(slant\:height)^2`

`16+9=(slant\:height)^2`

`25=(slant\: height)^2`

`5=slant\: height`

In conclusion, the slant height of the cone is 5 inches. See below for a visual.