Sphere - parts

Calculate the area of a spherical cap, which is part of an area with a base radius ρ = 8 cm and a height v = 4.2 cm.

Final Answer:

S =  500.75 cm2

Step-by-step explanation:

ρ=8 cm v=4.2 cm  r2=ρ2+(rv)2 r2=ρ2+r22rv + v2 2rv = ρ2+ v2  r=2 vρ2+v2=2 4.282+4.22=21020419.719 cm  S=π r ρ+ 2 π r v S=π r (ρ+2 v)=3.1416 9.719 (8+2 4.2)=500.75 cm2



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