Question

ASAPPPPP....The volume of a cylinder is 4πx^3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?

Answer 1

Answer:
`r=2x\ units`

Explanation:

We know that the volume of a cylinder is:

`V=\pi r^2h`

Where r is the radius and h is the height of the cylinder.

In this case we know that the height is
`h = x\ units` and the volume is
`V=4\pi x^3`

Then we substitute these values in the first equation and solve for r

`4\pi x^3=\pi r^2 x`

`4x^3=r^2 x`

`r^2=4(x^3)/(x)`

`r^2=4x^2`

`r=2x`

Answer 2

`r=2x\ units`

Explanation:

we know that

The volume of the cylinder is equal to

`V=\pi r^(2) h`

we have

`V=4\pi x^(3)\ units^(3)`

`h=x\ units`

substitute and solve for r

`4\pi x^(3)=\pi r^(2) (x)`

Simplify

`4x^(2)=r^(2)`

square root both sides

`2x=r`

Rewrite

`r=2x\ units`