Sphere - parts

Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.

Correct result:

S =  697.88 cm2

Solution:

r2=ρ2+(r−v)2 r2=ρ2+r2−2rv+v2 2rv=ρ2+v2 r=92+3.122⋅3.1=14.61 cm S=πrρ+2πrv=πr(ρ+2v)=697.88 cm2

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