Page 21 - Abstract book - TJSSF-2020

Thailand – Japan Student Science Fair 2020 (TJ-SSF 2020)
“Seeding Innovations through Fostering Thailand – Japan Youth Friendship”

The Study of the Relationship of Spheres at overlapping that are packed in a

Cylinder

Sudarat Prakongsuk , Suphitchaya Khamanek ,
1
1
Advisor: Chatchadaporn Prachanpol
1

Princess Chulabhorn Science High School Buriram
1

Abstract

Mathematics Project Subject name is "The Study of the Relationship of Spheres at overlapping that are
packed in a Cylinder" is a project created with the objective to study the relationship between spheres
and cylinders and to find formulas that are used for calculate the size of a cylindrical cylinder that can
fit a large number of spheres. The researcher will study the relationship of spheres and cylinders, in
which the researcher will draw a spherical image that is packed in a cylinder in 2D. Define variables
from the drawing and the study method is divided into 7 cases, in which the researcher determines the
diameter. And the researcher finds the formulas that are used to calculate the size of a cylindrical
cylinder that can fit a large number of spheres. The researcher will draw a spherical image that is packed
in a cylinder in 2D and define variables from the drawing. After that, studying and collecting data. The
experimental results are the relationships of the diameter and the cylinder between the height of the
cylinder in the ratio which is in the form of a circle diameter. To get the formula that is used to calculate
the size of a cylindrical cylinder that can fit a large number of spheres. The method of operation is
applied the knowledge of the Geometry and the Pythagorean theorems; To solve everyday problems,
To make it more convenient and easier. This project will be a small point to create a new innovation in
quality of life in the future.

Keywords: Relationship of Spheres, Cylinder

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