Use the image to answer the question.
A cone shows a height marked as 12 and a diameter marked as 8, both indicated with perpendicular dotted lines. The slant height is marked as 10.
What is the radius of the cone?
(1 point)
Responses
10
10
12
12
4
4
8
The radius of the cone can be found by using the Pythagorean theorem.
The slant height, height, and radius form a right triangle.
The height is given as 12 and the slant height as 10.
To find the radius, we can use the Pythagorean theorem:
slant height^2 = height^2 + radius^2
10^2 = 12^2 + radius^2
100 = 144 + radius^2
radius^2 = 100 - 144
radius^2 = -44
Since the radius cannot be negative, it is not possible to determine the radius using the given information.