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: the total surface area of a solid hemisphere of diameter 14 cm , is : 
Options: ['a ) 462 cm ²', 'b ) 530 cm ²', 'c ) 1345 cm ²', 'd ) 1788 cm ²', 'e ) none']
a

Problem: the slant height of a cone is 13 cm and radius of the base is 9 cm , find the curved surface of the cone ? 
Options: a ) 367 , b ) 378 , c ) 365 , d ) 26 , e ) 28
a

Problem: the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm . what is the area of the triangle ? 
Options: a ) 128 cm 2 , b ) 36.0 cm 2 , c ) 105 cm 2 , d ) 25 cm 2 , e ) 135 cm 2

c