Answer:
8 Units
Explanation:
The volume of a cone can be calculated using the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is pi, r is the radius, and h is the height of the cone. We are given the volume and the diameter, so we can use the diameter to find the radius:
d = 2r
14 = 2r
r = 7
Now we can substitute the values for the volume and radius into the formula and solve for the height:
V = (1/3) * π * r^2 * h
1230.88 = (1/3) * 3.14 * 7^2 * h
1230.88 = (1/3) * 3.14 * 49 * h
1230.88 = (49/3) * 3.14 * h
1230.88 = 153.86 * h
h = 1230.88 / 153.86
h = 8
So, the height of the cone is approximately 8 units