In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Ex Input:
Problem: right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x and y coordinates of p , q and r are to be integers that satisfy the inequalitites - 4 ≤ x ≤ 5 and 6 ≤ y ≤ 16 . how many different triangles with these properties could be constructed ? 
Options: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100

Ex Output:
c


Ex Input:
Problem: the bases of a hemisphere and a cone are equal . if their heights are also equal then ratio between their curved surface area is — 
Options: ['a ) 1 : √ 2', 'b ) √ 2 ∶ 1', 'c ) 1 : 2', 'd ) 2 : 1', 'e ) none of these']

Ex Output:
b


Ex Input:
Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many q grams ? 
Options: ['a ) q = 16', 'b ) q = 32', 'c ) 64', 'd ) 128', 'e ) 512']

Ex Output:

b