Spherical cap

Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm2. Determine the radius r of the sphere from which the spherical cap was cut.

Correct result:

v =  1.384 cm
r =  2.6843 cm

Solution:

D=4.6 cm r1=D/2=4.6/2=2310=2.3 cm S=20 cm2  S=2 πr1.v v=S2π r1=202 3.1416 2.3=1.384 cm
r2=r12+v2 r=r12+v2=2.32+1.3842=2.6843 cm



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