Cube in sphere

The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball?

Correct answer:

p =  36.7553 %

Step-by-step explanation:

r=6 cm D=2 r=2 6=12 cm u=D=12 cm  u=3a a=u/3=12/3=4 3 cm6.9282 cm  V1=a3=6.92823=192 3 cm3332.5538 cm3 V2=34 π r3=34 3.1416 63904.7787 cm3  p=100 V2V1=100 904.7787332.5538=36.7553%

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

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.
Tip: Our volume units converter will help you with the conversion of volume units.
Pythagorean theorem is the base for the right triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: