A hemispherical bowl of internal radius contains a liquid. This liquid is to be filled into cylindrical-shaped small bottles of diameter and height . How many bottles will be needed to empty the bowl?
Step 1: Find the volume of the hemispherical bowl
The radius of the hemispherical bowl
The volume of the hemispherical bowl
Step 2: Find the volume of the cylindrical-shaped bottle
The radius of the cylindrical-shaped bottles(Radius is half of the diameter)
The height of the cylindrical-shaped bottles
The volume of the cylindrical-shaped bottles
Step 2: Find the number of the cylindrical-shaped bottle
Let n bottles are needed, so the volume of n cylindrical bottles
Hence, the number of bottles required is .