Find the volume of the composite figure. the cone is a square cone

we can see that

upper part is cone

bottom part is cylinder

Volume of cone:

we are given

now, we can use volume formula

now, we can plug values

and we get

Volume of cylinder:

we are given

now, we can use volume formula

now, we can plug values

and we get

now, we can add both volumes

we get

..............Answer

Step-by-step explanation:

The volume of a cone like this is given by:

Where:

And the volume of a cylinder is given by:

Where:

Now, let:

The volume of the composite figure will be given by:

Since the cone and the cylinder in the composite figure share the same radius:

Now, using the data provided, the volume of the cone is:

And the volume of the cylinder is:

Finally, the volume of the composite figure is: