Problem in calculating young mudulus

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Young's modulus can be expressed as Y=(F/A)/(dL/L), where A represents the area. For cylindrical shapes, the area used varies based on the direction of the applied force. If the force is radial, the surface area of the cylinder, calculated as 2(pi)r*L, is appropriate. Conversely, if the force is axial, the cross-sectional area, given by (pi)r^2, should be used. Understanding these distinctions is crucial for accurate calculations in material mechanics.
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Young moduls can be given as:

Y=(F/A)/(dL/L)
but in area i am confused because sometine for cylindrical shape it is taken as 2(pi)r*L and sometime simply (pi)r^2.
Please deffrientiate these cases:
 
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If the force is radial, then you need the surface area of the cylinder; if the force is axial, you need the cross-sectional area.
 

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