(Solved): The center of a spherical water storage tank sits 22m above ground level. The radius of the tank ...

The center of a spherical water storage tank sits $22\mathrm{m}$ above ground level. The radius of the tank is $10\mathrm{m}$. Find the amount of work required in Joules (note: 1 Joule $=1\mathrm{Nm}$ ) to pump water from ground level into the tank until the water level is $7\mathrm{m}$ above the bottom of the tank. Use $g=9.81\mathrm{m}/{\mathrm{s}}^2$ for the acceleration due to gravity and assume that the density of fresh water is $1000\mathrm{kg}/{\mathrm{m}}^3$. Write only the numerical answer in the box below. Do not include the units. To be graded correct, your answer must be correct to three significant digits.