Sphere radius

The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?

Correct answer:

p1 =  70.3704 %
p2 =  55.5556 %

Step-by-step explanation:

r1=1 r2=r1r1/3=11/3=320.6667  V1=34 π r13=34 3.1416 134.1888 V2=34 π r23=34 3.1416 0.666731.2411  p1=100 V1V1V2=100 4.18884.18881.2411=271900%=70.3704%
S1=4π r12=4 3.1416 1212.5664 S2=4π r22=4 3.1416 0.666725.5851  p2=100 S1S1S2=100 12.566412.56645.5851=9500%=55.5556%



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: