ashishluitel1232 ashishluitel1232
  • 02-04-2021
  • Mathematics
contestada

27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​

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nuuk nuuk
  • 07-04-2021

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]

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