The volume of a cylinder is 4pi x(3) cubic units and its height is x units. which expression represents the radius of the cylinder in units? 2x, 4x, 2 pi x^, 4 pi x^

2x

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

If V = 4πx³ and h = x, then:

4πx³ = πr²x

4x² = r²

r = 2x

For this case we have that by definition, the volume of a cylinder is given by:

Where:

r: It's the radio

h: It's the height

We have as data that the volume of the cylinder is:

They also tell us that the height is "x", then:

We have similar terms on both sides of the equation:

We apply root to both sides of the equation:

We choose the positive value. Now the radio is 2x

they are simplified

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

i took the test