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: find the smallest number that must be added to 1780 to make it a perfect square .
Options: a ) 17 , b ) 42 , c ) 69 , d ) 47 , e ) 52
[A]: c

[Q]: Problem: if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 12
[A]: e

[Q]: Problem: a volume of 10940 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?
Options: a ) 2812 , b ) 8231 , c ) 2734 , d ) 2735 , e ) 4254
[A]:
d