To find the height of the cone, we can use the Pythagorean theorem.
Let h be the height of the cone. We can create a right triangle with the height, radius (which is half of the diameter), and side of the cone.
Using the Pythagorean theorem:
(10cm/2)^2 + h^2 = 13cm^2
5cm^2 + h^2 = 169cm^2
h^2 = 169cm^2 - 25cm^2
h^2 = 144cm^2
h = sqrt(144) cm
h = 12cm
Therefore, the height of the cone is 12cm.
Find the length of the height of the cone.
13cm<on the side
d=10cm<base
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