Answer:
5 inches
Step-by-step explanation:
A cone's volume can be found using the formula [tex]V = \frac{1}{3} \pi r^2 h[/tex]. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.
[tex]V = \frac{1}{3} \pi r^2 h \\12 = \frac{1}{3} \pi (1.5)^2 h \\12 = \frac{1}{3} \pi (2.25) h\\12 = 2.355h\\5.10 = h[/tex]
This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.
