The radius of cone is 2 inches
Solution:
The volume of cone is given by formula:
[tex]V = \frac{\pi r^2h}{3}[/tex]
Where,
"V" is the volume of cone
"r" and "h" are the radius and height of cone respectively
Given that, volume of a cone is 16 pi cubic inches
Its height is 12 inches
Therefore, we get,
V = [tex]16 \pi[/tex] cubic inches
h = 12 inches
r = ?
Substituting the values in formula, we get
[tex]16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2[/tex]
Since, radius cannot be negative, ignore r = -2
Thus radius of cone is 2 inches
