x(u, v) = a cos(u) sin(v) y(u, v) = a sin(u) sin(v) z(u, v) = a cos(v)

x^2 + y^2 + z^2 = a^2 and z<=a - h and 0

2

g = 0

S = 2 π a h

ds^2 = a^2 sin^2(v) du^2 + a^2 dv^2

dA = a^2 sin(v) du dv

x^_ = (0, 0, (3 (2 a - h)^2)/(4 (3 a - h)))

V = 1/3 π h^2 (3 a - h)

K(u, v) = 1/a^2

g_(uu) = a^2 cos^2(v) g_(vv) = a^2

Γ | u | | | uv = cot(v) Γ | u | | | vu = cot(v) Γ | v | | | uu = sin(v) (-cos(v))

E(u, v) = a^2 sin^2(v) F(u, v) = 0 G(u, v) = a^2

e(u, v) = a sin^2(v) f(u, v) = 0 g(u, v) = a

left double bracketing bar x(u, v) right double bracketing bar = a

N^^(u, v) = (cos(u) sin(v), sin(u) sin(v), cos(v))

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