Spherical cap

From the sphere of radius 11 was truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?

Correct result:

x =  18.2569 %

Solution:

r=11 cm v=6 cm  ρ2=r2(rv)2  ρ=r2(rv)2=112(116)2=4 6 cm9.798 cm  V1=π6 v (3 ρ2+v2)=3.14166 6 (3 9.7982+62)1017.876 cm3  V2=43 π r3=43 3.1416 1135575.2798 cm3  x=100 V1V2=100 1017.8765575.2798=18.2569%



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