Volume of Cylinders: Find V w/ Pi r2h

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The volume of a cylinder is calculated using the formula V = Pi r²h. Given a diameter of 0.9 meters, the radius is determined to be 0.45 meters. Substituting the radius and height into the formula yields a volume of approximately 2.28906 m³ for a full cylinder. Since the context specifies half a cylinder, the final volume is calculated as 1.14453 m³. This confirms that the tunnel can hold 1.14453 m³ of air.
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Homework Statement


upload_2016-8-1_0-51-44.png


Homework Equations


V= Pi R2H

The Attempt at a Solution



V = Pi r2h

They gave us the radius and the height (the length can be used as height). They Diameter is 0.9 to find the radius I just divide by 2 = 0.45. So now I find the volume of the cylinder using the formula “V= Pi r2h”. V= 3.14 x 0.2035 x 3.6 = 2.28906 now we divide by 2 since its half a cylinder. So now we do 2.28906 / 2= 1.14453 m3, so the tunnel can hold 1.14453 m3 of air.
(Pretty sure I got this right just want to confirm with others.)
 
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Yes that looks right to me.
 
kk thanks
 

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