Final answer:
Yes, the cross-sectional areas at different heights for both the regular and oblique cylinders with equal radii will be equal since they are calculated using the same formula, πr².
Step-by-step explanation:
If we consider the first cylinder which is a regular cylinder with a radius of 7 units and a height of 16 units, the cross-sectional area remains constant, which is given by the formula πr². In this case, the cross-sectional area is π(7²) or 49π square units at any height.
The second is an oblique cylinder which also has a radius of 7 units. Even though the sides of the oblique cylinder are slanted, the cross-sectional areas taken perpendicular to the 'height' axis of the cylinder will be the same as that of the regular cylinder at any height since they both have equal radii. Consequently, the area of any cross section of the oblique cylinder at any height will also be 49π square units.
Therefore, the answer to the question is 1) Yes, the areas of the cross sections at different heights for both the regular and oblique cylinders will be equal.