(Solved): A swimming pool is circular with a 30 -ft diameter. The depth is constant along east-west lines and ...

A swimming pool is circular with a 30 -ft diameter. The depth is constant along east-west lines and increases linearly from $4\mathrm{ft}$ at the south end to $9\mathrm{ft}$ at the north end. Find the volume of water (in ${\mathrm{ft}}^3$ ) in the pool. (Round your answer to the nearest whole number.) $\times {\mathrm{ft}}^3$