A greenhouse room at a botanical Garden is in the Shape of a hemisphere. The height at the center of the dome is 24 feet what is the volume of the air in the room that must be heated and cooled

Respuesta :

Answer:

The volume is [tex]9,216\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the hemisphere ( a greenhouse room) is equal to

[tex]V=\frac{4}{6}\pi r^{3}[/tex]

In this problem we have

[tex]r=24\ ft[/tex]

substitute

[tex]V=\frac{4}{6}\pi (24)^{3}=9,216\pi\ ft^{3}[/tex]