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 answer:

x =  18.2569 %

Step-by-step explanation:

r=11 cm v=6 cm  ρ2=r2(rv)2  ρ=r2(rv)2=112(116)2=4 6 cm9.798 cm  V1=6π v (3 ρ2+v2)=63.1416 6 (3 9.7982+62)1017.876 cm3  V2=34 π r3=34 3.1416 1135575.2798 cm3  x=100 V2V1=100 5575.27981017.876=18.2569%

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