Cone
A cone is a 3-dimensional (solid) figure that has a
circle
for a base and has a single
vertex
at the top, called the
apex
.
The volume of a cone with a circular base of radius r and height h is:
V =
r
^{2}
h / 3
The surface area of a cone consists of 2 parts:
The circular base: A
_{base}
=
r
^{2}
The sides: A
_{side}
=
r L
where L is the length of the side, called the 'slant length'.
If you cut a cone along the side L and lay it out flat, it looks like this:
When you cut up a solid figure and lay it out flat (like this), that is called a
geometry net
Now, here is a problem for you:
What is the volume of this cone?
Leave your answer in terms of π.
Volume = _______ π cu. in.