In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[Q]: Problem: if the length of the side of a square is doubled , what is the ratio of the areas of the original square to the area of the new square ?
Options: ['a ) 1 : 4', 'b ) 2 : 4', 'c ) 3 : 4', 'd ) 4 : 4', 'e ) 5 : 4']
[A]: a

[Q]: Problem: the area of the maximum size of the circle described from the 10 inch square ?
Options: ['a ) 75.5 sq inch', 'b ) 76.5 sq inch', 'c ) 77.5 sq inch', 'd ) 78.5 sq inch', 'e ) 79.5 sq inch']
[A]: d

[Q]: Problem: a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ?
Options: ['a ) 0 feet', 'b ) 1 feet', 'c ) 2 feet', 'd ) 3 feet', 'e ) 4 feet']
[A]:
d