Your home town is growing so rapidly that another water tower is necessary to meet the needs of the community. Civil and environmental engineers predict that the water tower will need to hold 1.00 X 10.0^6 kilograms of water. The engineers also estimate the density of the water to be 999 kilograms per cubic meter.
If this tower is spherical, what volume (gal) of water will the tower hold and what will the diameter (ft) of the tower have to be?
mass of water= 1.00 x 10^6 kg
density of water= 999 kg/m^3
volume of water (gal) = ?
diameter (ft) = ?
Volume of a sphere = 4/3 pi r^3
diameter= 2r
Solve to find volume (in gallons) and diameter (in feet) of the water tank. Show your units and dimensional analysis.