To find the cone's radius, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides (in this case, the radius and the height).
Let's denote the radius of the cone as r. Using the information given:
r^2 + 12^2 = 10^2
r^2 + 144 = 100
r^2 = 100 - 144
r^2 = 36
r = √36
r = 6
Therefore, the cone's radius is 6.
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's the cone's radius?
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