Question

A valume of a graduated cylinder is 490 cubic cm.

The radius of the base is 7 cm. What is the height??

Please help me

Answer 1

The height is 3.183 cm.

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= (V)/(\pi r^2 ).`

For our graduated cylinder,

`V = 490cm^3`

`r = 7cm`;

therefore,

`h = (490cm^3)/(\pi (7cm)^2 )`

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

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