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SOLVED:In this exercise we will obtain a formula for the volume of the spherical wedge illustrated in Figures 14.6 .7 and 14.6 .9 (a) Use a triple integral in cylindrical coordinates to show that the volume of the solid bounded above by a sphere ρ=ρ0, below by a cone ϕ=ϕ0, and on the sides by θ=θ1 and θ =θ2(θ1 <θ2) is V =(1)/(3) ρ0^3(1-cosϕ0)(θ2-θ1) [Hint: In cylindrical coordinates, the sphere has the equation r^2 z^2=ρ0^2 and the cone has the equation z=r cotϕ0 . For simplicity, co
SOLVED:In this exercise we will obtain a formula for the volume of …
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