TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: the ratio of radius of a circle and the side of a square is 2 : 3 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 9 , c ) 8 : 77 , d ) 4 : 121 , e ) none

SOLUTION: b

PROBLEM: Problem: a hall is 24 meters long and 12 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? 
Options: ['a ) 1896', 'b ) 1912', 'c ) 2108', 'd ) 2304', 'e ) 2524']

SOLUTION: d

PROBLEM: Problem: what positive number , when squared , is equal to the cube of the positive square root of 14 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2

SOLUTION:
d