# The volume of a cone is 27∏ and the radius is 3. Can you find the length of the height?

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My teacher requires work if it is not too much of a hassle please SHOW WORK!!!! thank you for helping.

My teacher requires work if it is not too much of a hassle please SHOW WORK!!!! thank you for helping.

##### 1 Answer

Mar 7, 2017

The height is

#### Explanation:

The volume of the cone is given as

You can make it a big cone that you can walk into and use

or a small cone sitting on your table and use

The volume of a cone is:

Then:

If you started with the big cone, the height is

and if you decided on the small cone, the height is