R2 -,2= 2nh%3D2nh(R - r)%3D= 2n•h .R-r2n average radius · height thicknessUse 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.heightthicknesslength (average circumference of the cylindrical shell)Thus, the formula of the cylindrical shell makes sense geometrically.Need Help?Read ItViewing Saved Work Revert to Last ResponseSALGTRIG4 0.6.012.DETAILSPREVIOUS ANSWERS1 Peintsl2. 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 insideback cover of this book, explain why the volume of the cylindrical shell isV = TR?h – r?h.%3DFactor to show thatV = 2ñ · average radius · height · thickness.%3DSince average radius =,height = h, and thickness =R - r, we see the following.%3DV = ¤R?h – Tr²hR² – 122nh%3D2nh(R – r)(*-)2n .R- r2n · average radius · height · thickness%3DUse 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

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,...

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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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

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.

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

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