The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 78,000 km, while the outer radius is 190,000 km.The mass of this planet is 6.14 * 10^26 kg.

To calculate the total mass of the rings, we need to know the density of the ice chunks in the rings. Once we have that information, we can calculate the volume of the rings and then multiply it by the density to get the mass.

Without the density of the ice chunks, we cannot directly determine the mass of the rings. However, we can assume an average density and proceed with the calculation. Let's assume the average density of the ice chunks in the rings is similar to the density of water, which is 1,000 kg/m3.

To calculate the volume of the rings, we need to find the difference between the volumes of the two cylinders formed by the inner and outer radii. The formula to calculate the volume of a cylinder is V = π * r^2 * h, where V is the volume, π is Pi (approximately 3.14159), r is the radius, and h is the height.

Using the formula, we calculate the volume of the outer cylinder:
V_outer = π * (190,000 km)^2 * h

Similarly, we calculate the volume of the inner cylinder:
V_inner = π * (78,000 km)^2 * h

To get the volume of the rings, we subtract the volume of the inner cylinder from the volume of the outer cylinder:
V_rings = V_outer - V_inner

To convert the radii from kilometers to meters, we multiply them by 1000:
r_outer = 190,000 km * 1000 m/km = 190,000,000 m
r_inner = 78,000 km * 1000 m/km = 78,000,000 m

Now we can substitute the values into the equation and calculate the volume:
V_rings = π * (190,000,000 m)^2 * h - π * (78,000,000 m)^2 * h

Since the height (h) of the rings is not given, we cannot calculate the volume accurately. However, we can assume a constant height throughout the rings and proceed with the calculation.

Assuming a height of 1 km (1000 m), we can calculate the volume:
V_rings = π * (190,000,000 m)^2 * 1000 m - π * (78,000,000 m)^2 * 1000 m

Now that we have the volume of the rings, we can calculate the mass by multiplying it by the assumed density:
Mass_rings = V_rings * Density

Using the assumed density of 1000 kg/m3:
Mass_rings = V_rings * 1000 kg/m3

Finally, we can calculate the mass of the rings.

Note: The values we obtained are based on the assumed density and height of the rings. For accurate calculations, the actual density and height need to be determined.