Aptitude Question:
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One Rectangular Plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?

Answer:

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

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