vol. of rect. plate 8*11*2 176

area of rod (22/7)*(8/2)*(8/2) (352/7)

vol. of rod area*length vol. of plate

so length of rod vol of plate/area 176/(352/7) 3.5

Volume of
cylindrical rod 22/7*r^2h (where r 4)
22/7*r^2h 176
h 176*1/16*7/22
h 3.5

Given volume of the rectangualr plate is equal to volume of circular rod (cylinder).

diameter of the circular rod is 8 inches
so radius is 4 inches

length of the rectangualr plate is 8 inches
breadth of the rectangualr plate is 11 inches
width of the rectangualr plate is 2 inches

volume of the rectangle is length*breadth*width
volume of the cylinder is PI*radius*radius*length

so

volume of the rectangle volume of the cylinder
8*11*2 (22/7)*4*4*length
length 8*11*2*(7/22)*(1/4)*(1/4)
length 1232/352
length 3.5inches