The height of the cone is 12, the length of the arc generatrix is 15. Find the diameter of the base.

Consider a right-angled triangle. In it, the generatrix is the hypotenuse and is equal to 15 cm, the height is one leg and is equal to 12 cm.The second leg, lying on the base, is the radius of the circle lying at the base and is equal to the square root of (15 ^ 2 – 12 ^ 2) = V81 = nine.
Base diameter = 2 * 9 = 18 cm.



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