Answer:
The height of the vase is [tex]h=10.75\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
we have
[tex]V=45\ cm^{3}[/tex]
[tex]r=2\ cm[/tex]
[tex]\pi =3.14[/tex]
substitute and solve for h
[tex]45=\frac{1}{3}(3.14)(2)^{2} h[/tex]
[tex]135=(3.14)(4)h[/tex]
[tex]135=12.56h[/tex]
[tex]h=135/12.56[/tex]
[tex]h=10.75\ cm[/tex]
