Cylindrical Ball
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How to evaluate triple integrals using cylindrical coordinates?
using cylindrical coordinates ... find the mass of the ball B given by x + Y + z ² ² ² ² ≤ whether the density at any point is proportional to its distance from the z axis
ρ (r) = k | r | ρ (r) k is nonnegative mass density is the positive value of the constant element infinitesmall volume, dV = r dr dθ dz Mass = ∫ ∫ ∫ ρ dV ........... a. .. ... 2π √ (a ² - R ²) Weight = ∫ ∫ ... .. 2 ∫ dr dθ dz KRR ........... 0 ... 0 .... 0
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