Cylinder Volume
Cylinder Volume - Related Videos
09:14
Paw-Dragging: a Novel, Sensitive Analysis of the Mouse Cylinder Test
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Cited by 53 •
2015
Classical forelimb asymmetry analysis of the cylinder test is routinely used to assess behavioural deficits in rats following brain injury or stroke; however, it fails to detect consistent deficits in mice. This study demonstrates that quantifying paw-dragging behaviour is a more sensitive analysis of brain injury in mice.
01:28
Cylinders in Three-Dimensional Space
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2026
A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
07:05
In Vitro Evaluation of The Effects Of Er,Cr:YSGG and Diode Lasers Used on Titanium Cylinder
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2025
In this study, Er,Cr:YSGG and diode lasers applied separately to the flat surface of a total of 96 specially designed titanium cylinders. A thermocouple placed on the other surface and the temperature was measured. Surface roughness analyzed by profilometer, SEM and AFM.
08:51
Understanding Concentration and Measuring Volumes
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2023
Solutions are utilized to some degree in almost all biological research applications. Therefore understanding how to measure and manipulate them is imperative to any experiment. In this video, concepts in preparing solutions are introduced. Solutions consist of a solute dissolved in solvent to yield a homogeneous mixture of molecular substances. Solutions are generally identified by their components and corresponding concentrations. Concentrated solutions are diluted through various...
07:14
A Novel Approach to Assess Motor Outcome of Deep Brain Stimulation Effects in the Hemiparkinsonian Rat: Staircase and Cylinder Test
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Cited by 8 •
2016
Deep brain stimulation (DBS) is an effective treatment option for Parkinson's disease. We established a study design to screen novel stimulation paradigms in rats. The protocol describes the use of the staircase test and cylinder test for motor outcome assessment in DBS treated hemiparkinsonian rats.
FAQs
The radius is squared because the circular base has area proportional to r². Increasing the radius changes the base area more rapidly than changing it by the same amount linearly. For example, doubling the radius makes the base area four times larger, so the volume also becomes four times larger when the height remains unchanged.
Height affects volume linearly because it determines how many layers of the circular base extend along the cylinder. If the radius stays constant, doubling the perpendicular height doubles the volume, while reducing the height by half reduces the volume by half. This relationship helps compare cylinders that have identical bases but different heights.
The height represents the direct separation between the two parallel circular bases, so it must be measured perpendicular to them. Using a different distance would not correctly describe the cylinder’s three-dimensional extent. This condition ensures that the base area is multiplied by the appropriate dimension when calculating the enclosed space.
Because the radius is half the diameter, a diameter measurement must first be divided by two before applying V = πr²h. After that conversion, square the resulting radius and multiply by π and the perpendicular height. This prevents the common error of substituting the full diameter where the formula requires the radius.
First identify the radius and perpendicular height, making sure both use compatible units. Square the radius, multiply that value by π, and then multiply by the height. Report the result in cubic units because three dimensions contribute to the measurement. Keeping the calculation in this order can reduce substitution and unit errors.
The relationship V = πr²h can be rearranged to find a missing measurement. For a known volume and radius, height equals V divided by πr². If volume and height are known instead, the radius is found by taking the square root of V divided by πh. These forms support spatial-dimension problems beyond direct calculation.
For cylindrical containers, tanks, and similar objects, the calculated volume estimates the enclosed capacity when the relevant internal radius and height are used. The same measurement can support problems involving material use or spatial dimensions. In mathematics, these applications connect a circular two-dimensional measurement with the amount of three-dimensional space it can represent.