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
4
4
12
12
8
8
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The radius of the cone can be found using the Pythagorean theorem. The slant height is the hypotenuse of a right triangle, with the height as one leg and the radius as the other leg. Using the formula a^2 + b^2 = c^2, we can plug in the values given to find the radius:
12^2 + r^2 = 10^2
144 + r^2 = 100
r^2 = 100 - 144 = -44
Since the radius cannot be negative, the answer is none of the options provided.