Answer if you know
this is calculus so don't put idk or whatever
show all work and resons

the reigon r is bounded by the x axis, the y axis and y=√x and y=6-x
the area of the reigon is 22/3
the reigon r is the base of a solid. for every y, where 0≤y≤2, the cross section of the solid taken perpendicular to the y axis is a rectangle whose base lies in r and whose heigh is is 2y. write, but do not evaluate, and integral expression that gives the volume of the solid

I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance between the y-axis and the curve . In terms of , this distance is . The height of each cross section is twice the value of , so the area of each rectangular cross section should be .

This means the volume would be given by the integral

M< 5 = 80 , < 2 = 80, < 6= 100, < 3= 100, < 7= 80, < 4= 80, < 8= 100