Answer:
5 inches
Explanation:
The volume of a cone formula is V = (1/3)(base)(height). Thus, 3V =(base)(ht).
We want to calculate the height of the cone. Divide both sides of
3V =(base)(ht) by (base), obtaining 3V/(base) = ht.
Substituting 12 in^3 for V, and 2.25pi for (base), we get:
12 in^3
------------ = 5.33 in, or, to the nearest inch, 5 inches.
2.25 pi
Note: The diameter of the cone is 3 inches. The area of the base is pi*r^2, so we must divide d = 3 inches by 2 to obtain the radius: 1.5 in. Then r^2 = 2.25 in^2.