Answer:3:1
Step-by-step explanation:
Given
There are 27 solid spheres of radius x cm
The volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex]
The volume of 27 old spheres is the same as the volume of a new sphere
The volume of the old spheres is
[tex]V_o=\dfrac{4}{3}\pi x^3[/tex]
The volume of a new sphere is
[tex]V_n=\dfrac{4}{3}\pi y^3[/tex]
Now,[tex]V_o=V_n[/tex]
[tex]\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3[/tex]
