The volume is 100.48 in.³ and has a height of 6 inches what is the diameter

8 inches

Step-by-step explanation:

The formula for a cone's volume is: V = (pir^2h) / 3

We already have the V, or volume and the height (h).

So: 100.48 = [pi (6) r^2]/3

Simplify: 100.48 = [ (18.84955592154) r^2]/3 (=) 301.44 = (18.84955592154) r^2 (=) 16 = r^2 (=) 4 = r, and since the diameter is 2 times the radius, the diameter is 8 inches.