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
10
10
4
4
12
To find the radius of the cone, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides.
In this case, the slant height is 10, one side is the radius of the base (which we are trying to find), and the other side is the height of the cone, which is 12.
So, using the Pythagorean theorem:
10^2 = 12^2 + r^2
100 = 144 + r^2
r^2 = 100 - 144
r^2 = -44
Since the square of a radius cannot be negative, it is not possible to find a real value for the radius of the cone.
Therefore, the correct answer is: None of the above.
What answefrrrrrr
I apologize for the mistakes in my response.
Based on the information given in the question, the diameter of the cone is marked as 8. Therefore, the radius of the cone would be half of the diameter.
The correct answer is: 4.