Final answer:
The volume of the oblique cylinder is 50 in³. (Option A).
Step-by-step explanation:
The volume of a right circular cylinder is given by the formula V = πr²h. Since the radii and heights of both the right circular cylinder and the oblique circular cylinder are equal, we can use the given volume of the right cylinder to find the volume of the oblique cylinder. If the right cylinder has a volume of 50 in³, this means that the oblique cylinder will also have a volume of 50 in³. Therefore, the correct answer is a) 50 in³.
The volume of an oblique circular cylinder with the same height and radius as a right circular cylinder is also 50 in³, since the volume is calculated using the base area multiplied by the height.
If both a right circular cylinder and an oblique circular cylinder have the same heights and radii, then their volumes will be equal. The volume of a cylinder is calculated using the formula V = πr²h, which is the area of the base (πr²) multiplied by the height (h). Since the volumes of both cylinders are derived from the same base area and height, the volume of the oblique cylinder, like the right cylinder, is 50 in³.