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
5 answers
8
no
I apologize for the confusion. The correct answer is 4.
explain
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.
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.