Solve.Heating and Air An observatory is built in the shape of a right circular cylinder wi...

Solve.

Heating and Air An observatory is built in the shape of a right circular cylinder with a hemispherical roof as shown in the figure. The heating and air contractor has figured the volume of the structure as 3168π ft3. If the height of the cylindrical walls is 2 ft more than the radius of the building, then what is the radius of the building?