Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

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]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.