[See Solution] Find the volume of the solid based on the interior of the cardioid r=1+ cos θ and capped by the cone
Question: Find the volume of the solid based on the interior of the cardioid \(r=1+\cos \theta \) and capped by the cone \(z=2-r\).
Deliverable: Word Document 
Solution: (a) Sketch the solid formed by the three coordinate
![[See Solution] (a) Sketch the solid region](/images/solutions/MC-solution-library-45146.jpg "[See Solution] (a) Sketch the solid region in the first octant")
[See Solution] (a) Sketch the solid region in the first octant
(See Solution) Evaluate ∫√x^2+y^2dV over the region
![[Solution Library] (a) Sketch the solid region](/images/solutions/MC-solution-library-45148.jpg "[Solution Library] (a) Sketch the solid region contained within")
[Solution Library] (a) Sketch the solid region contained within
![[See Steps] A particle moves on a](/images/solutions/MC-solution-library-45149.jpg "[See Steps] A particle moves on a path x(t)=(cos t,- sin t,t-π")
[See Steps] A particle moves on a path x(t)=(cos t,- sin t,t-π
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