Question

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?

Responses

4
4 - not selected, this is the correct answer

10
10 - no response given

8
8 - incorrect

12

Answer 1

no

Answer 2

explain

Answer 3

8

Answer 4

I apologize for the confusion. The correct answer is 4.

Answer 5

I apologize for the incorrect response earlier. To find the radius of the cone, we can use the Pythagorean theorem.

The slant height of the cone (10) represents the hypotenuse of a right triangle. The height (12) and the radius (which we want to find) represent the other two sides of the triangle.

Using the Pythagorean theorem, we have the equation:

(radius)^2 + (height)^2 = (slant height)^2

We can substitute the given values into the equation:

(radius)^2 + (12)^2 = (10)^2

(radius)^2 + 144 = 100

(radius)^2 = 100 - 144

(radius)^2 = -44 (which is not possible, as the radius can't be negative)

Therefore, the given information might be incorrect or there might be an error in the image.