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: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ? 
Options: ['a ) 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28']

SOLUTION: a

PROBLEM: Problem: the diagonals of a rhombus are 11 cm and 16 cm . find its area ? 
Options: a ) 277 , b ) 266 , c ) 150 , d ) 88 , e ) 212

SOLUTION:
d