Answer:
The height of the cone is [tex]h=12\ units[/tex]
Step-by-step explanation:
we know that
The volume of a right circular cone is
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
In this problem we have
[tex]r=5\ units[/tex]
[tex]V=100\pi\ units^3[/tex]
so
the missing measure is the height h of the cone
substitute the given values in the formula and solve for h
[tex]100\pi=\frac{1}{3}\pi (5)^{2}h[/tex]
Simplify the number π
[tex]100=\frac{1}{3}(5)^{2}h[/tex]
[tex]300=25h[/tex]
[tex]h=300/25[/tex]
[tex]h=12\ units[/tex]
