Answer:
The height is 3.183 cm.
Step-by-step explanation:
The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by
[tex]V = \pi r^2h[/tex]
Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:
[tex]h= \dfrac{V}{\pi r^2 }.[/tex]
For our graduated cylinder,
[tex]V = 490cm^3[/tex]
[tex]r = 7cm[/tex];
therefore,
[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]
[tex]\boxed{h = 3.183\:cm}[/tex]
Thus, the height of the graduated cylinder is 3.183 cm.
