Question

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

Answer 1

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