<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.