Spherical cap

What is the surface area of a spherical cap, the base diameter 23 m, and height 3 m?

Correct answer:

S =  443.75 m2

Step-by-step explanation:

h=3 m D=23 m=>ρ=D/2=11.5 m  r2=(rh)2+ρ2 2rh=h2+ρ2 r=2hh2+ρ2=2332+11.52=23.54 m S=2πrh=2π23.543=443.75 m2

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