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A cylindrical glass bottle $21.5 \mathrm{cm}$ in length is filled with cooking oil of density $0.953 \mathrm{g} / \mathrm{mL} .$ If the mass of the oil needed to fill the bottle is $1360 \mathrm{g}$, calculate the inner diameter of the bottle.

$$\mathrm{d}=9.20 \mathrm{cm}$$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

University of Central Florida

Rice University

University of Maryland - University College

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

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The first thing we'll do to figure out the diameter of the bottle is for is to determine the volume of the bottle that's gonna be equal to the mass divided by the density, which will give us a volume of 1427 centimeters. Cube the volume of a cylindrical bottle. It's gonna be full. Two pi r squared, multiplied by the lanes or a pie are squared is D over two squared. We could rearrange this equation to solve for D, and we get the square root of four B over pile. So for our volume, we determined, is 1427. Well, then divide by pi and, uh, the length of the bottle, which was given to us A 21.5, and we get 9.19 centimeters as the diameter of the bottle.

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