SOLUTION: Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 6 inches

Algebra ->  Bodies-in-space -> SOLUTION: Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 6 inches      Log On


   

Question 213431This question is from textbook
: Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 6 inches This question is from textbook

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 6 inches

Step 1. Let V1=4pi%2Ar1%5E3%2F3 and V2=4pi%2Ar2%5E3%2F3 where V1 volume of Sphere 1 with radius r1=3 and V2 volume of Sphere 2 with radius r2=6. And pi=3.14159

Step 2. Now find V1/V2

V1%2FV2=%284pi%28r1%29%5E3%2F3%29%2F%284pi%28r2%29%5E3%2F3%29

V1%2FV2=r1%5E3%2Fr2%5E3=%28r1%2Fr2%29%5E3

V1%2FV2=%283%2F6%29%5E3=%281%2F2%29%5E3

V1%2FV2=1%2F8


I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J