Question

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

Answer 1

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,

`V=(1)/(3) \pi r^2 h`

Substituting the values, r = 3 and V = 57, we get;

`57=(1)/(3) (3.14) (3)^2 h`

Simplifying the terms, we get;

`57=(1)/(3) (3.14) (9) h`

Multiplying both sides of the equation by 3, we get;

`171= (3.14) (9) h`

`171=28.26 h`

Dividing both sides of the equation by 28.26, we get;

`6.05=h`

Thus, the height of the cone is 6.05 units.