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

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01-03-2017
Mathematics

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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

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AL2006 AL2006 · Answer 1 · 2017-03-01T07:22:55+01:00

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