R2-12 = 2nh 2nh(R - r) 2 •(-) = 27: •h. R r = 2n · average radius · height · thickness ne "unrolled" diagram to explain why this makes sense geometrically. Since the "unrolled" diagram is a rectangular shell, V = height · thickness · length. From the diagram, we see the following. heig thickness length (average circumference of the cylindrical shell) Thus, the formula of the cylindrical shell makes sense geometrically. I Help? Read It Viewing Saved Work Revert to Last Response PREVIOUS ANSWERS SALGTRIG4 0.6.012. ntsl DETAILS
R2-12 = 2nh 2nh(R - r) 2 •(-) = 27: •h. R r = 2n · average radius · height · thickness ne "unrolled" diagram to explain why this makes sense geometrically. Since the "unrolled" diagram is a rectangular shell, V = height · thickness · length. From the diagram, we see the following. heig thickness length (average circumference of the cylindrical shell) Thus, the formula of the cylindrical shell makes sense geometrically. I Help? Read It Viewing Saved Work Revert to Last Response PREVIOUS ANSWERS SALGTRIG4 0.6.012. ntsl DETAILS
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question

Transcribed Image Text:R2 -,2
= 2nh
%3D
2nh(R - r)
%3D
= 2n
•h .
R-r
2n average radius · height thickness
Use the "unrolled" diagram to explain why this makes sense geometrically.
Since the "unrolled" diagram is a rectangular shell, V = height · thickness · length. From the diagram, we see the following.
height
thickness
length (average circumference of the cylindrical shell)
Thus, the formula of the cylindrical shell makes sense geometrically.
Need Help?
Read It
Viewing Saved Work Revert to Last Response
SALGTRIG4 0.6.012.
DETAILS
PREVIOUS ANSWERS
1 Peintsl
2.

Transcribed Image Text:A culvert is constructed out of large cylindrical shells cast in concrete, as shown in the figure. Using the formula for the volume of a cylinder given on the inside
back cover of this book, explain why the volume of the cylindrical shell is
V = TR?h – r?h.
%3D
Factor to show that
V = 2ñ · average radius · height · thickness.
%3D
Since average radius =
,height = h, and thickness =
R - r
, we see the following.
%3D
V = ¤R?h – Tr²h
R² – 12
2nh
%3D
2nh(R – r)
(*-)
2n .
R- r
2n · average radius · height · thickness
%3D
Use the "unrolled" diagram to explain why this makes sense geometrically.
Since the "unrolled" diagram is a rectangular shell, V = height · thickness · length. From the diagram, we see the following.
height
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education