Given the volume and height of the cylinder, the expression that best represents the radius of the cylinder in units is 2x.
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given the data in the question;
We substitute our given values into the expression above.
V = π × r² × h
r² = V / π × h
r = √(V / π × h)
r = √( 4πx³ / xπ)
r = √4x² units
r = 2x units
Therefore, given the volume and height of the cylinder, the expression that best represents the radius of the cylinder in units is 2x.
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