The radius of the cone can be found by using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the slant height in this case) is equal to the sum of the squares of the other two sides (the height and the radius).
In this case, we have a right triangle with a height of 12 and a slant height of 10. Let's denote the radius as r.
Using the Pythagorean theorem, we can set up the equation:
r^2 + 12^2 = 10^2
Simplifying this equation:
r^2 + 144 = 100
Subtracting 144 from both sides:
r^2 = -44
Since the result of the equation is negative, it means that there is no real solution for the radius. Therefore, none of the given options: 12, 10, 4, or 8 are correct.
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
12
10
4
8
1 answer
3 answers