A solid is described as follows:

$1.$ The base of the solid is the region bounded in the $1$st quadrant by y$=\backslash$root$(6)($x$)$ and y$=4$

$2.$ Every cross section of the solid whose base is parallel to the x$-$axis is a rectangle whose height is SEVEN times the length of its width $($where the width of the rectangle is on the base of the solid$).$

Put the following $($at least$)$ on the paper you will upload:

A$)$ Draw the base $($shaded in$)$ and one appropriate rectangle in it$.$

B$)$ Draw the cross section related to your rectangle in $($A$)$ and label it $($with x$\text{'}$s and y$\text{'}$s$).$

C$)$ Write the integral that gives volume of the full object.

Then you can evaluate it with technology and put your answer below.

volume $=$

BE SURE your base, the labeled slice and the integral is uploaded below. A solid is described as follows:

$1.$ The base of the solid is the region bounded in the $1$ st quadrant by $\backslash ($ y$=\backslash$sqrt$[6]\{$x$\}\backslash )$ and $\backslash ($ y$=4\backslash )$

$2.$ Every cross section of the solid whose base is parallel to the $\backslash ($ x $\backslash )-$axis is a rectangle whose height is SEVEN times the length of its width $($where the width of the rectangle is on the base of the solid$).$

Put the following $($at least$)$ on the paper you will upload:

A$)$ Draw the base $($shaded in$)$ and one appropriate rectangle in it$.$

B$)$ Draw the cross section related to your rectangle in $($A$)$ and label it $($with x$\text{'}$s and y$\text{'}$s$).$

C$)$ Write the integral that gives volume of the full object.

Then you can evaluate it with technology and put your answer below.

volume $\backslash (=\backslash )$

BE SURE your base, the labeled slice and the integral is uploaded below.