Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the company decides to keep the radius constant and change the height. [Hint: Lesson 9.4 and Lesson 6.1] a) Complete the table below Table A: Radius - 4 cm First differences Height Volume (cm³) (cm) 26 27 28 29 b) Based on the first differences, is the relationship between the height and the volume linear or nonlinear? c) The company then decides to keep the height constant and change the radius of the bottles. Complete the table below Table B: Height = 27 cm First Differences Radius Volume (cm³) (cm) 3 4 5
Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the company decides to keep the radius constant and change the height. [Hint: Lesson 9.4 and Lesson 6.1] a) Complete the table below Table A: Radius - 4 cm First differences Height Volume (cm³) (cm) 26 27 28 29 b) Based on the first differences, is the relationship between the height and the volume linear or nonlinear? c) The company then decides to keep the height constant and change the radius of the bottles. Complete the table below Table B: Height = 27 cm First Differences Radius Volume (cm³) (cm) 3 4 5
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 2
Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the company decides to keep the
radius constant and change the height. [Hint: Lesson 9.4 and Lesson 6.1]
a) Complete the table below
Table A: Radius=4 cm
First differences
Height Volume (cm³)
(cm)
26
27
28
29
b) Based on the first differences, is the relationship between the height and the volume linear or nonlinear?
c) The company then decides to keep the height constant and change the radius of the bottles. Complete
the table below
Table B: Height = 27 cm
First Differences
Radius Volume (cm³)
(cm)
3
4
5
2
24%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd672829b-f6c8-47b6-8835-d8cd4f1626a8%2Faa968efe-ac14-43d9-bbdd-065bddb85b24%2F2l28qzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mon Jun 20
TH1W Culminating Activity - V6
Times New Roman
Home
Insert Draw
Layout Review View
12
Question 2
Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the company decides to keep the
radius constant and change the height. [Hint: Lesson 9.4 and Lesson 6.1]
a) Complete the table below
Table A: Radius=4 cm
First differences
Height Volume (cm³)
(cm)
26
27
28
29
b) Based on the first differences, is the relationship between the height and the volume linear or nonlinear?
c) The company then decides to keep the height constant and change the radius of the bottles. Complete
the table below
Table B: Height = 27 cm
First Differences
Radius Volume (cm³)
(cm)
3
4
5
2
24%
![Table B: Height = 27 cm
Radius Volume (cm³)
(cm)
3
4
5
First Differences
2
6
d) Based on the first differences, is the relationship between the radius and the volume linear or nonlinear?
e) Using the formula for the volume of a cylinder, explain the relationship between the height and the
volume in parts a) and b) and the radius and the volume in parts c) and d).
f) The company then considers changing the shape of the original bottle to a cone. Explain how the new
volume will change compared to the original volume, using the volume relationship between a cylinder
[Hint Lesson 9.4]
and cone.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd672829b-f6c8-47b6-8835-d8cd4f1626a8%2Faa968efe-ac14-43d9-bbdd-065bddb85b24%2Faw1moeb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table B: Height = 27 cm
Radius Volume (cm³)
(cm)
3
4
5
First Differences
2
6
d) Based on the first differences, is the relationship between the radius and the volume linear or nonlinear?
e) Using the formula for the volume of a cylinder, explain the relationship between the height and the
volume in parts a) and b) and the radius and the volume in parts c) and d).
f) The company then considers changing the shape of the original bottle to a cone. Explain how the new
volume will change compared to the original volume, using the volume relationship between a cylinder
[Hint Lesson 9.4]
and cone.
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