Respuesta :

Answer:

6.22 cm

Step-by-step explanation:

Plug in to the formula for cylinder and solve for h:

[tex]V=\pi r^{2} h\\h = \frac{V }{\pi r^2} \\[/tex]

Now plug in the known values:

[tex]h=\frac{512}{(3.14)(5)^2} \\h=\frac{512}{78.5} \\[/tex]

h = 6.22