The expression that represents the radius of the cylinder is 2x
What is volume?
The volume of a shape (e.g. cylinder) is the amount of space in the shape i.e. the cylinder
Below, is how to calculate the radius of the cylinder
The volume is given as:
V = 4πx³
The volume of a cylinder is:
V = πr²x
By comparison, we have:
πr²x = 4πx³
Divide the common factors
r² = 4x²
Take the square root of both sides
r = 2x
Hence, the expression that represents the radius of the cylinder is 2x
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