Cube in ball

Cube is inscribed into the sphere of radius 181 dm.

How many percent is the volume of
cube of the volume of the sphere?

Correct result:

p =  36.7553 %

Solution:

r=6 dm D=2 r=2 6=12 dm  D=3a a=D/3=12/3=4 3 dm6.9282 dm  V1=a3=6.92823=192 3 cm3332.5538 cm3 V2=43 π r3=43 3.1416 63904.7787 dm3  p=100 V1V2=100 332.5538904.778736.7553  p=2003 π %=36.7553%



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