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Find the mass of the following solids with the given density functions. Note that density is described by the function $f$ to avoid confusion with the rudial splier...

Question

Find the mass of the following solids with the given density functions. Note that density is described by the function $f$ to avoid confusion with the rudial splierical coordinate $\boldsymbol{\rho}$. The solid cone $\{(r, \theta, z): 0 \leq z \leq 4,0 \leq r \leq \sqrt{3} z$ $0 \leq \theta \leq 2 \pi\}$ with a density $f(r, \theta, z)=5-z$.

Find the mass of the following solids with the given density functions. Note that density is described by the function $f$ to avoid confusion with the rudial splierical coordinate $\boldsymbol{\rho}$. The solid cone $\{(r, \theta, z): 0 \leq z \leq 4,0 \leq r \leq \sqrt{3} z$ $0 \leq \theta \leq 2 \pi\}$ with a density $f(r, \theta, z)=5-z$.



Answers

Find the mass of the following solids with the given density functions. Note that density is described by the function $f$ to avoid confusion with the rudial splierical coordinate $\boldsymbol{\rho}$. The solid cone $\{(r, \theta, z): 0 \leq z \leq 4,0 \leq r \leq \sqrt{3} z$ $0 \leq \theta \leq 2 \pi\}$ with a density $f(r, \theta, z)=5-z$.


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