What is the radius of the cone? (1 point)

the base of the cone is 8, the perpendicular height is 12, and the slant height is 10

A.
8
B.
10
C.
12
D.
4

D. 4

The radius of the cone is half the base diameter, and half of 8 is 4.

Can you explain why you took this step?

Of course! In a cone, the radius is the distance from the center of the base to any point on the base. The base of the cone is a circle, and the diameter is the distance across the circle passing through the center. Since the base of the cone has a diameter of 8, the radius (which is half the diameter) is 8/2 = 4.

I hope this explanation helps clarify why the radius in this case is 4. Let me know if you have any other questions!