Final answer:
The volume of a cone with the same radius and height as a cylinder can be calculated using the formula V = (1/3) * π * r² * h. Given that the volume of the cylinder is 175 cubic units, we can set up an equation and solve for the volume of the cone.
Step-by-step explanation:
The volume of a cone with the same radius and height as a cylinder can be found using the formula V = (1/3) * π * r² * h, where V is the volume, π is a constant approximately equal to 3.142, r is the radius, and h is the height. Since the volume of the cylinder is given as 175 cubic units, we can set up the equation: 175 = (1/3) * π * r² * h. From here, we can solve for the volume of the cone.