### Abstract

The present work considers the volume-depth relationship for several container shapes such as cylinders, spheres and cones. The evaluation of the volume corresponding to a given depth is easily carried out on a spreadsheet. A computer program is described for carrying out the inverse process, that is, to output values of depth corresponding to selected volumes, hence producing a depth-gauge. The calculation can take into account the shape of the container and how the divisions (numbered and un-numbered) should be distributed on the scale. If the scale is graduated as a fraction of the total volume and displayed at an arbitrary size on the monitor screen, then "universal" results are obtained, for example for any sphere, or any cylinder, etc., independent of its actual dimensions. In addition, if the volume is specified in litres (or gallons, or any other units) and the length of the depth-scale is specified, then a gauge can be produced that will suit that particular container. It can be displayed on the screen only as a scale drawing, but exact dimensions can be output as a file, which will allow the full-size gauge to be drawn, either using drawing-office equipment or an automatic drawing machine.

Original language | English |
---|---|

Pages (from-to) | 107-114 |

Number of pages | 8 |

Journal | Sains Malaysiana |

Volume | 39 |

Issue number | 1 |

Publication status | Published - Feb 2010 |

### Fingerprint

### Keywords

- Cones
- Cylinders
- Spheres
- Volume-depth relationship

### ASJC Scopus subject areas

- General

### Cite this

*Sains Malaysiana*,

*39*(1), 107-114.

**Producing a scale to indicate the volume of liquid in a container.** / Samat, Supian; Evans, C. J.

Research output: Contribution to journal › Article

*Sains Malaysiana*, vol. 39, no. 1, pp. 107-114.

}

TY - JOUR

T1 - Producing a scale to indicate the volume of liquid in a container

AU - Samat, Supian

AU - Evans, C. J.

PY - 2010/2

Y1 - 2010/2

N2 - The present work considers the volume-depth relationship for several container shapes such as cylinders, spheres and cones. The evaluation of the volume corresponding to a given depth is easily carried out on a spreadsheet. A computer program is described for carrying out the inverse process, that is, to output values of depth corresponding to selected volumes, hence producing a depth-gauge. The calculation can take into account the shape of the container and how the divisions (numbered and un-numbered) should be distributed on the scale. If the scale is graduated as a fraction of the total volume and displayed at an arbitrary size on the monitor screen, then "universal" results are obtained, for example for any sphere, or any cylinder, etc., independent of its actual dimensions. In addition, if the volume is specified in litres (or gallons, or any other units) and the length of the depth-scale is specified, then a gauge can be produced that will suit that particular container. It can be displayed on the screen only as a scale drawing, but exact dimensions can be output as a file, which will allow the full-size gauge to be drawn, either using drawing-office equipment or an automatic drawing machine.

AB - The present work considers the volume-depth relationship for several container shapes such as cylinders, spheres and cones. The evaluation of the volume corresponding to a given depth is easily carried out on a spreadsheet. A computer program is described for carrying out the inverse process, that is, to output values of depth corresponding to selected volumes, hence producing a depth-gauge. The calculation can take into account the shape of the container and how the divisions (numbered and un-numbered) should be distributed on the scale. If the scale is graduated as a fraction of the total volume and displayed at an arbitrary size on the monitor screen, then "universal" results are obtained, for example for any sphere, or any cylinder, etc., independent of its actual dimensions. In addition, if the volume is specified in litres (or gallons, or any other units) and the length of the depth-scale is specified, then a gauge can be produced that will suit that particular container. It can be displayed on the screen only as a scale drawing, but exact dimensions can be output as a file, which will allow the full-size gauge to be drawn, either using drawing-office equipment or an automatic drawing machine.

KW - Cones

KW - Cylinders

KW - Spheres

KW - Volume-depth relationship

UR - http://www.scopus.com/inward/record.url?scp=77649156886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77649156886&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 107

EP - 114

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 1

ER -