Given a cylinder of vertical height, H and radius R. h = H/R

In summary, h is the ratio of the height of a cylinder to the radius of its base, and s is the ratio of the length from the base to an element at ground level to the radius of the base. Both equations are used to calculate the relative proportions of the cylinder's height and base.
  • #1
isabella
27
0
1.)Given a cylinder of vertical height, H and radius R. h = H/R So what does this equation means? what is h?

2.)Given L is the length from the cylinder base to an element at ground level, s = L/R. So what does s stand for?
 
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  • #2
I am as clueless as you are!

h = ratio of height of the cylinder to the radius of the base??
h = sine of the angle which is made by the line joining the center of the top and a point at the rim of the base with the horizontal (viewing the cylinder as a orthogonal projection in a 2D plane) ??

Maybe you would like to give the question in its entirety?

-- AI
 
  • #3


1) The equation h = H/R means that the ratio of the height of the cylinder (H) to its radius (R) is equal to the variable h. This can also be interpreted as the number of times the radius can fit into the height of the cylinder. h is a variable that represents the ratio between the height and radius.

2) The equation s = L/R means that the ratio of the length from the cylinder base (L) to an element at ground level to the radius (R) is equal to the variable s. This can also be interpreted as the number of times the radius can fit into the length from the base to the ground level. s is a variable that represents the ratio between the length and radius.
 

1. What is the formula for calculating the height of a cylinder given its radius and height ratio?

The formula for calculating the height of a cylinder with a given radius and height ratio is h = H/R, where h represents the height of the cylinder, H represents the vertical height, and R represents the radius.

2. How do you find the height of a cylinder using its radius and height ratio?

To find the height of a cylinder using its radius and height ratio, you can plug the values into the formula h = H/R, where h represents the height of the cylinder, H represents the vertical height, and R represents the radius.

3. Can I use this formula for any cylinder, regardless of its size?

Yes, this formula can be used for any cylinder, as long as the units of measurement for the height and radius are consistent. For example, if the height is measured in inches, the radius should also be measured in inches.

4. How do I convert the height and radius measurements to the same unit for this formula?

To convert the height and radius measurements to the same unit for this formula, you can use a conversion factor. For example, if the height is measured in centimeters and the radius is measured in meters, you can convert the height to meters by dividing it by 100 before plugging it into the formula.

5. Can I use this formula to find the height of a cylinder if I only know its volume?

No, this formula only works if you know the radius and height ratio of the cylinder. To find the height of a cylinder if you only know its volume, you would need to use the formula V = πr^2h, where V represents the volume, r represents the radius, and h represents the height.

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