# A cone has a height of #36 cm# and its base has a radius of #9 cm#. If the cone is horizontally cut into two segments #24 cm# from the base, what would the surface area of the bottom segment be?

##### 1 Answer

#### Answer:

The surface area of the bottom segment

#### Explanation:

To explain this, I will show it with a diagram of a triangle as if the cone was vertically split.

We can find out the length of line

now we know that:

So we can now use the pythagorean theorem again to find out what

We can also do the same equation as above to find out what

Now that we have those measurements, we can substitute them in the Surface area equation.