Solving for Air Speed in an Air Duct

[TooDank4U]

Homework Statement

A 15 cm. radius cylindrical air duct is used to replenish the air of a room 10 m.*6 m.* 3m. Every 10 minutes. Determine the speed of the air through the duct in m/s. A1=15 V1=? A2=19 V2=0

Homework Equations

A1V1=A2V2

The Attempt at a Solution

3.14*15^2 * ?= 19*0=. 3.14*15^2=706.5

 

[billy_joule]

Your attempt makes no sense. show units and explain your reasoning.

What is the volume of the room?
What volume per second must flow through the room to replace that volume every ten minutes?
To achieve that volumetric flow rate how fast must that air flow through the duct?