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: a cylindrical cube of radius 12 cm contains water upto a depth of 20 cm . a spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm . the radius of the ball is : 
Options: ['a ) 7 cm', 'b ) 8.5 cm', 'c ) 9 cm', 'd ) 9.5 cm', 'e ) none']
c

Problem: in right triangle abc , ac is the hypotenuse . if ac is 35 and ab + bc = 55 , what is the area of the triangle abc ? 
Options: a ) 225 , b ) 450 , c ) 25 √ 2 , d ) 200 , e ) 200 √ 2
b

Problem: the area of a square is equal to three times the area of a rectangle of dimensions 25 cm * 27 cm . what is the perimeter of the square ? 
Options: a ) 180 cm , b ) 190 cm , c ) 170 cm , d ) 150 cm , e ) 160 cm

a