what is the radius of a cone if the height is 12, base is 8, and the slant height is 10
To find the radius of the cone, we can use the Pythagorean theorem. The slant height of the cone, the radius, and the height create a right triangle.
Let's call the radius of the cone "r". The slant height is given as 10 and the height as 12.
Using the Pythagorean theorem:
r^2 + 12^2 = 10^2
r^2 + 144 = 100
r^2 = 100 - 144
r^2 = 36
r = √36
r = 6
Therefore, the radius of the cone is 6.