Use the image to answer the question.
A cone is marked with a height of 6 centimeters and a diameter of 2 centimeters, both shown as perpendicular dotted lines. The slant height is marked as 4 centimeters.
What is the length of the cone?
(1 point)
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The length of the cone can be found by using the Pythagorean Theorem.
The slant height is the hypotenuse of a right triangle formed by the height and the radius of the cone.
Let's call the radius of the cone r.
Using the Pythagorean Theorem, we have:
r^2 + 6^2 = 4^2
r^2 + 36 = 16
r^2 = 16 - 36
r^2 = -20
This is not possible, as the square of a real number cannot be negative.
Therefore, we cannot determine the length of the cone based on the given information.