$(10$ points$)$ Consider the cone$-$shaped region $W$ which lies between the surface $x=\sqrt[\phantom{2}]{3(x^2+y^2)}$ and the plane $z=\sqrt[\phantom{2}]{3}.$ Identify the missing limits of integration and integrands to complete the integrals for finding the volume of $W.$

$($a$)$ volume $(W)={\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{B}}{}}}{\displaystyle \underset{0}{\overset{\frac{D}{D}}{}}}\frac{\sqrt[\phantom{2}]{D}}{D}ddd$

$A=$

$C=\frac{}{6}$

$E={}^{2}sin()$

$B=0$

$($b$)$ volume $(W)={\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{3}}{}}}{\displaystyle \underset{\frac{Q}{P}}{\overset{\frac{}{R}}{}}}T\frac{}{T}dydxdz$

$P=$

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$Q=$

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$R=$

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