Given:
Radius of the cone = 3 inches
Height of the cone = 8 inches
To find:
The volume of the cone, in terms of π.
Solution:
We know that, the volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Putting [tex]r=3,h=8[/tex], we get
[tex]V=\dfrac{1}{3}\pi (3)^2(8)[/tex]
[tex]V=\dfrac{1}{3}\pi (9)(8)[/tex]
[tex]V=\dfrac{72}{3}\pi [/tex]
[tex]V=24\pi [/tex]
Therefore, the volume of the cone is [tex]24\pi[/tex].
