Volume ratio

Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone.

Correct result:

r =  8:1

Solution:

a=1  r1=3/3 a=3/3 10.5774 r2=3/6 a=3/6 10.2887   V1=43 π r13=43 3.1416 0.577430.8061 V2=43 π r23=43 3.1416 0.288730.1008  r=V1V2=0.80610.10088=8:1



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