How many inches high will the milk reach in the cylindrical container?

Question

Milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches. Assuming all the milk is transferred without spillage, how many inches high will the milk reach in the cylindrical container?

Answer 1

To start, you want to determine the volume of the rectangular container: (Volume=Length*Width*Height).  Then You determine the height from the volume of the cylindrical container:(Volume=πr²*height).

 

Rectangular container:  

Volume=4*9*10

Volume=360

Height in cylindrical container:

360=π6²*height