Question

A valume of a graduated cylinder is 490 cubic cm.

Answer 1

Answer:

The height is 3.183 cm.

Step-by-step explanation:

The volume $V$of a cylinder with base radius $r$ and height $h$ is given by

$V = \pi r^2h$

Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:

$h= \dfrac{V}{\pi r^2 }.$

For our graduated cylinder,

$V = 490cm^3$

$r = 7cm$;

therefore,

$h = \dfrac{490cm^3}{\pi (7cm)^2 }$

$\boxed{h = 3.183\:cm}$

Thus, the height of the graduated cylinder is 3.183 cm.