Expression represents the radius of the cone base is option (A) 3x
What is Cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the vertex.
What is Volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
What is Radius?
A radius of a circle or sphere is any of the line segments from its center to its perimeter.
Given volume of a cone = [tex]3\pi (x^{3})[/tex]
Volume of the cone = [tex]\frac{1}{3}\pi (x)(r^{2})[/tex]
Compare both the equation
Radius of the cone = [tex]\sqrt{\frac{3\pi (x^{3} )}{\frac{1}{3}\pi (x)(r^{2}) } }[/tex]
Radius r = 3x
Hence, the expression represents the radius of the cone base is option (A) 3x
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