Answer:
The volume of the cone is [tex]26\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
In this problem we have that
[tex]V=78\ cm^{3}[/tex]
so
[tex]78=\pi r^{2}h[/tex] -----> equation A
The volume of a cone with the same radius and height is equal to
[tex]V=\frac{1}{3}(\pi r^{2}h)[/tex] -----> equation B
Substitute equation A in equation B
[tex]V=\frac{1}{3}(78)[/tex]
[tex]V=26\ cm^{3}[/tex]
