It is a research lab. Please solve and explain it.

1 Resistance is a Geometrical Property Every material has an intrinsic property known as the resistivity p. Objects made out of a material have a prOperty called the resistance R that depends on the object's geometry. The relationship between resistance and resistivity is R : pL/A where L is the length of the object and A is its cross-sectional area perpendicular to its length. Consider a solid metal cylinder of length L and radius r. You measure the resistance of this cylinder and find it to have a value R. Question 1: If you cut the cylinder in half so that you had two pieces each of length L/2, as shown in the diagram, what would be the resistance of each piece according to Eq. (1) (1:0 Qi L/Z L12 Question 2: If you took a wire and connected the two pieces end-to-end, what is the total resistance according to the addition of resistors in series? Question 3: Based on your observations, is Eq. (1) consistent with what you know about how resistors add in series? Explain. Question 4: If you took the two pieces arranged side-by-side as shown and considered them a single object of length L/2, what is the total resistance according to Eq. (1)? U2 Question 5: If you took the two pieces and connected them with wires as shown, what is the total resistance according to the addition of resistors in parallel? LIZ Question 6: Based on your observations, is Eq. (1) consistent with what you know about how resistors add in parallel? Explain