The rain cloud has an approximate volume of30 km3 and an average height, top to bottom, of 125 m.If a cuboid container collects 58 mm of water after the rainfalls out of the cloud, estimate the total mass of rain that fellfrom the cloud

To solve this problem, we need to follow several steps:

1. Convert the volume of the cloud from km^3 to m^3: 1 km^3 = 1,000,000,000 m^3. So, 30 km^3 = 30 * 1,000,000,000 = 30,000,000,000 m^3.

2. Calculate the volume of the rainwater that fell from the cloud. The volume of a cuboid is given by the formula length * width * height. In this case, the height is the amount of rainfall (58 mm or 0.058 m), and the length and width are the area over which the rain fell. This area is the same as the base area of the cloud. Since the volume of the cloud is 30,000,000,000 m^3 and the height is 125 m, the base area is 30,000,000,000 m^3 / 125 m = 240,000,000 m^2. Therefore, the volume of the rainwater is 240,000,000 m^2 * 0.058 m = 13,920,000 m^3.

3. Calculate the mass of the rainwater. The density of water is approximately 1,000 kg/m^3. Therefore, the mass of the rainwater is 13,920,000 m^3 * 1,000 kg/m^3 = 13,920,000,000 kg.

So, the total mass of rain that fell from the cloud is approximately 13,920,000,000 kg.