(a) Use cylindrical coordinates to show that the volume of the solid bounded above by the sphere r2 + z2 = a2 and below by the cone z = r cot ϕ0 (or ϕ = ϕ0), where 0 < ϕ0 < π/2, is V =
(b) Deduce that the volume of the spherical wedge given by ρ1
(c) Use the Mean Value Theorem to show that the volume in part (b) can be written as ΔV =
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Calculus: Early Transcendentals