Sphere parts, segment

A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. .What are the volume of the segment and the surface of the segment?

Correct result:

V =  437.7766 cm3
S =  254.8296 cm2

Solution:

D=20.6 cm d=16.2 cm  R=D/2=20.6/2=10310=10.3 cm r=d/2=16.2/2=8110=8.1 cm  R2=r2+(Rv)2  v=RR2r2=10.310.328.123.9376 cm  V=16 π v (3 r2+v2)=16 3.1416 3.9376 (3 8.12+3.93762)=437.7766 cm3
S=2π R v=2 3.1416 10.3 3.9376=254.8296 cm2



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