A cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone

Given:

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.

Height of the cone:

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.