Volume of Cylinders: Find V w/ Pi r2h

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SUMMARY

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. In the discussion, the diameter of the cylinder is given as 0.9 meters, leading to a radius of 0.45 meters. By substituting the radius and height (3.6 meters) into the formula, the calculated volume is approximately 2.28906 m³. Since the cylinder is half, the final volume is confirmed to be 1.14453 m³.

PREREQUISITES
  • Understanding of basic geometry concepts, specifically cylinder volume calculation.
  • Familiarity with the mathematical constant π (Pi).
  • Ability to perform arithmetic operations including multiplication and division.
  • Knowledge of unit conversion, particularly in cubic meters.
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  • Study the properties of cylinders and their applications in real-world scenarios.
  • Explore advanced volume calculations for composite shapes.
  • Learn about the significance of π in various mathematical contexts.
  • Practice solving similar problems involving volume calculations with different dimensions.
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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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