Step-by-step explanation:
Volume of a cone is [tex]\pi r^{2} .height[/tex]/3 so [tex](3x)^{3}[/tex] is equal to
[tex]\pi r^{2} .x[/tex]/3 . Also [tex](3x)^{3}[/tex] = [tex]27x^{3}[/tex]
[tex]27x^{3}[/tex] = [tex]\pi r^{2} .x[/tex]/3. Pi equals to 3 so pi and the 3 in the denominator will simplfy each other. lets simplfy the "x" so [tex]r^{2} = 27x^{2}[/tex] so the radius is 9x.
