The globe arena in stockholm, sweden is the worlds largest hemispherical bulilding. the diameter of the arena is 110 meters. the globe arena is not a complete sphere, but if it were, what would iys volume be? round the volume to the nearest hundredth

The volume of a complete sphere is

                               V = (4/3 π) · (radius)³ .

The arena is not a complete sphere.
It's just half of a sphere.
So its volume is

                                 V = (2/3 π) · (radius)³

                                     = (2/3 π) · (55 m)³

                                     = (2/3 π) · (166,375 m³) .

                                     =      348,454.9852 m³

                                     =      348,454.99  m³ .  when rounded

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)