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: in a triangle , one side is 6 cm and another side is 8 cm . which of the following can be the perimeter of the triangle ? 
Options: ['a ) 22 .', 'b ) 25 .', 'c ) 30 .', 'd ) 32 .', 'e ) 34 .']

A: a
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Q: Problem: 6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ? 
Options: a ) 4 , b ) 6 , c ) 5 , d ) 15 , e ) 20

A: c
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Q: Problem: consider a right circular cone of base radius 4 and height 10 cm . a cylinder is to be placed inside the cone with one of the flat surface resting on the base of the cone . find the largest possible total surface area ( in sq cm ) of the cylinder . 
Options: ['a ) 100 π / 3', 'b ) 80 π / 3', 'c ) 120 π / 7', 'd ) 130 π / 9', 'e ) 110 π / 7']

A:
a
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