Question

A container is entirely filled with 950,000 gallons of water. How much water is left inside the container if 100 metal spheres, whose radius is 2 m each, are gently placed inside the container? Express your answer in gallons.

 

V = _____ gallons (amount of water left in the container)

Answer 1

1litre=0.22 gallons approx. 1000ml=1000cc=1litre. 1cm=1/100m, so 1cc=1/1000000=0.000001m³. 1litre=0.001m³=0.22 gallons, 1m³=220gallons (a closer approximation would be 219.97)

Volume of sphere=(4/3)π×8=32π/3m³.

Volume of 100 spheres=3200π/3m³=3200π/3×219.97gallons.

This is about 737127 gallons. So the amount of water left is 212873 gallons approx.