How many cubic meters in a cylinder?

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Homework Help Overview

The discussion revolves around calculating the volume of a cylinder given its radius and height. The original poster presents a specific example with a radius of 5 meters and a height of 10 meters, questioning the units of the resulting volume calculation.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to compute the volume using the formula for a cylinder but expresses confusion about the units of the result. Some participants clarify that the formula yields a volume in cubic meters.

Discussion Status

Participants have provided clarifications regarding the dimensional analysis of the volume formula, confirming that the result is indeed in cubic meters. The conversation appears to be moving towards a clearer understanding of the units involved.

Contextual Notes

The original poster's question highlights a common point of confusion regarding units in volume calculations, suggesting a focus on understanding dimensional analysis in the context of geometry.

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Homework Statement



Given a cylinder of radius = 5m, and height = 10m, how many cubic meters is that? If I just compute those values in the formula for a cylinder, I get 785.4. But 785.4 what? Is it785.4m^3?

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The Attempt at a Solution

 
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LearninDaMath said:

Homework Statement



Given a cylinder of radius = 5m, and height = 10m, how many cubic meters is that? If I just compute those values in the formula for a cylinder, I get 785.4. But 785.4 what? Is it785.4m^3?

Yes, you have a ##\pi r^2h## which dimensionally is ##m^3##.
 
Yes, look at the formula for volume:

V = \pi r^2 h

The units of both r and h are meters, so the units of volume are (meters)^2 * meters = (meters)^3.
 
Thanks jbunniii and LCKurtz
 

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