The radius of the cone can be found by using the Pythagorean theorem. The slant height, height, and radius form a right triangle. We can use the formula a^2 + b^2 = c^2 to solve for the radius.
In this case, the height (12) is the longer side, the radius (r) is the shorter side, and the slant height (10) is the hypotenuse.
Using the Pythagorean theorem, we have:
r^2 + 12^2 = 10^2
r^2 + 144 = 100
r^2 = 100 - 144
r^2 = -44
Since we cannot take the square root of a negative number, the radius of the cone is not a real number. This means there is an error in the given information.
Cylinders and Cones Quick Check
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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?
(1 point)
Responses
8
8
12
12
4
4
10
3 answers
but you have to choose one please
If I have to choose one option, I would select:
4
4
3 answers