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: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand . the bucket is emptied on the ground and a conical heap of sand is formed , the height of the heap being 12 cm . the radius of the heap at the base is : 
Options: ['a ) 63 cm', 'b ) 53 cm', 'c ) 56 cm', 'd ) 66 cm', 'e ) none of these']

SOLUTION: a

PROBLEM: Problem: in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above

SOLUTION: b

PROBLEM: Problem: area of a square is 1 / 2 hectare . the diagonal of the square is ? 
Options: ['a ) 250 meter', 'b ) 100 meter', 'c ) 50 √ 2 meter', 'd ) 50 meter', 'e ) 35 meter']

SOLUTION:
b