The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.
Given the following:
Plug in the values into the volume formula:
1/18π = 1/3π(1/3)²h
1/18π = 1/3π(1/9)h
1/18π = (πh)/27
Divide both sides by π
1/18 = h/27
Cross multiply
27 = 18h
27/18 = h
h = 1.5
Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
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