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: 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']

A: c
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Q: Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ? 
Options: ['a ) 12 cm', 'b ) 15 cm', 'c ) 18 cm', 'd ) 21 cm', 'e ) 24 cm']

A: b
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Q: Problem: when the oil from a circular cylinder leaked , the formula for the speed of the leak is v = kh ^ 2 , where h was the height of the remaining oil and k was constant . if the height of the cylinder is 4 , the speed of the leak is v â € ™ , when the height of the oil remaining is 12 , what was the speed of the leak , in terms of v â € ™ ? 
Options: ['a ) 9 v â € ™', 'b ) 4 v â € ™', 'c ) v â € ™ / 2', 'd ) v â € ™ / 4', 'e ) v â € ™']

A:
a
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