Can You Calculate Volume with Only the Radius and Not the Height?

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SUMMARY

The discussion centers on calculating the volume of beans using only the radius derived from the measured diameter of 15.5 cm, resulting in a radius of 7.75 cm. The volume formula V = πr²h requires both the radius and height, but the height (h) is unknown. Participants suggest practical methods for estimating volume, such as using a measuring cup to determine the displacement of water, which can provide an indirect measurement of volume without needing the height.

PREREQUISITES
  • Understanding of basic geometry and volume calculations
  • Familiarity with the formula for the volume of a cylinder: V = πr²h
  • Knowledge of unit conversions, specifically cubic centimeters
  • Basic skills in using measuring tools, such as measuring cups
NEXT STEPS
  • Research methods for measuring volume through water displacement
  • Learn about the implications of using approximations in volume calculations
  • Explore advanced geometric formulas for irregular shapes
  • Investigate tools for measuring height in various contexts
USEFUL FOR

This discussion is beneficial for students in geometry, scientists conducting volume measurements, and anyone involved in practical applications of volume calculations, such as food scientists or agricultural researchers.

compaqnigg
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I have a problem. I have to find the Volume of a group beans. Now I measured the bean's diameter, but I wasn't able to get Volume in the lab. Is there a way to get it?



The equation to find volume is V = (pi)r^2h... (pi times r squared, times H).
Volume of a solid is cm^3.



There are two variables missing, V and h. Now the diameter I have is 15.5cm... so the radius is 7.75cm.

So I have V = 3.14 * 7.75^2 * h

Is it possible to find the other two varibles?
 
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I know it might sound really dumb but if you've got a decently large and decently measured measuring cup fill it about half full with water and plop it in there and find the change in volume and convert it to cubic centimeters. Other then that find some other way to measure the height?
 

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