# How does the volume of a cone change if its radius and height are both tripled?

##### 2 Answers

The volume of the cone with changed dimensions is

#### Explanation:

Volume of a Cone

Let us say New

So volume of the cone with changed dimensions

Plugging the values

we get

volume of the cone with changed dimensions

Hence the volume of the cone with changed dimensions is

Becomes 27 times greater than the original volume

#### Explanation:

Since volume of a cone

In the original situation this is the formula.

Now we have 3r (for new radius at the bottom) and 3h as new height.

If you insert these into above equation, you will get