The Mystery Bottle.

Slides:

Advertisements

Similar presentations

Volumes by Slicing: Disks and Washers

Advertisements

What’s In The Bag Adapted from Dr. Margaret Niess.

The Mystery Bottle II This Time Is Personal. Objectives  Physics 2 The student will investigate and understand how to analyze and interpret data. Key.

© T Madas Time Height © T Madas Time Height Liquid is poured in the container at constant rate.

DETERMING CONCENTRATIONS OF SOLUTIONS. MOLAR Molar is mol solube/1 L solution Making molar solution 1)Add ½ of the total solvent 2)Add required amount.

Warm Up. Volume of Solids - 8.3A Big Idea Just like we estimate area by drawing rectangles, we can estimate volume by cutting the shape into slices,

Surface Area of Cylinders Unit 5, Lesson 3. What is a Cylinder? Definition: –A three dimensional figure with 2 circular bases. Formula for Surface Area:

Geometry Surface Area of Cylinders By Mr. Wall. Surface Area  Cylinder – (circular prism) a prism with two parallel, equal circles on opposite sides.

Definition Choosing a Standard Solution Making the Solution.

Section 15.2 Describing Solution Composition 1. To understand mass percent and how to calculate it 2. To understand and use molarity 3. To learn to calculate.

Section 6-1 continued Slope Fields. Definition A slope field or directional field for a differentiable equation is a collection of short line segments.

Starter Questions Q1. 35% of 360 Q2. Calculate x 7

Let R be the region bounded by the curve y = e x/2, the y-axis and the line y = e. 1)Sketch the region R. Include points of intersection. 2) Find the.

Dilution of Solutions.

Solids of Known Cross Section. Variation on Disc Method  With the disc method, you can find the volume of a solid having a circular cross section  The.

Chapter 1 Functions and Their Graphs. Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Section 1.1: Figure 1.1, The Cartesian Plane.

Geometry Volume of Cylinders. Volume  Volume – To calculate the volume of a prism, we first need to calculate the area of the BASE of the prism. This.

2cm 1.5cm 3cm 12.57cm 6.28cm 9.42cm 18.85cm 12.57cm cm cm cm 2 A. B. C. D. i. ii. iii. iv

10.6 Surface Area & Volume of Spheres

Volume and Surface Area

MTH 232 Section 10.5 Surface Area.

Volume of a Cylinder, Cone, and Sphere

Surface Area of Cylinders

Algebra 2 Stat review 11.2, 11.3, 11.5.

5 Rational Numbers: Positive and Negative Decimals.

DILUTING A STOCK SOLN To make a soln less concentrated: add solvent

In this section, we will learn about: Using integration to find out

Correct the following equation so that it makes sense – you can add numbers and operators to it. Challenge: Make the equation make sense by re-arranging.

CIRCLES and POLYGONS.

Volume of a Cylinder, Cone, and Sphere

STARTERS Find the area of Trapezium = 750 Rectangle = 1000

Chapter 3 - Measurements

Knowledge of quantities / calculating areas

Cross Sections Section 7.2.

ONE THIRD of the area of the base, B, times the height, h

SLOPE = = = The SLOPE of a line is There are four types of slopes

3 Find the volume of the pyramid:

Copyright © Cengage Learning. All rights reserved.

Find the surface area of the figure.

Chapter 7.2: Volume The Disk Method The Washer Method Cross-sections

Lesson 40 - Density Centers

7.3 Day One: Volumes by Slicing

A graphing calculator is required for some problems or parts of problems 2000.

Volume of Solids with Known Cross Sections

Area & Volume Chapter 6.1 & 6.2 February 20, 2007.

Volume of Composite Figures

Section 7.3 Calculus AP/Dual, Revised ©2016

Copyright © Cengage Learning. All rights reserved.

Surface Area of Prisms and Cylinders

Slope  4 Ways: Graph Formula Ordered Pairs Table.

AP Calculus BC April 3-4, 2017 Mrs. Agnew

Copyright © Cengage Learning. All rights reserved.

8.3 Day One: Volumes by Slicing

7.3 Day One: Volumes by Slicing

Surface Area and Volume of 3D figures

12.4 Volume of Prisms and Cylinders

Volume of a Cylinder, Cone, and Sphere

6.1 Areas Between Curves To find the area:

Volume of a Cylinder, Cone, and Sphere

ONE THIRD of the area of the base, B, times the height, h

Volume of Pyramids and Cones

9.4 – Perimeter, Area, and Circumference

We are learning to…find the volume of a cylinder

Unit 5: Linear Functions & Slope Intercept

Agenda Bell Ringer Bell Ringer

Maths Unit 8 (F) – Perimeter, Area & Volume

Presentation transcript:

The Mystery Bottle

The Basic Idea Add a certain volume of water to a container measure how much the height increases.

I’ve collected data for 3 bottles

Task 1 Graph Total Volume vs. Height for each of the bottles Figure out what the slope of a Total Volume vs. Height graph means

The graph for a beaker

The graph for a flask

The graph for a funnel

What is the shape of this container?

How about this one?

And this guy?

Is this container possible?

What Does The Slope Mean? The slope is the reciprocal of the area of the bottle

What is the cross sectional area of this container?

What is the cross sectional area of this container?

What is the cross sectional area of this container?

The mystery bottle

Sketch the shape of the bottle

Create a model of the Mystery Bottle!!! Given the data and the formula for area come up with a way to calculate the radius for each data point. Come up with a graph of the Bottle Radius vs. Height

Given To Us The Collected Data We can assume that the bottle has a circular circumference.

Possible Solutions

Sweet Fancy Moses! The Error is Increasing

Which volume to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Just how do you get h? height