Volume of Concrete 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 front cover of this book, explain why the volume of the cylindrical shell is V = TR*h – ar'h Factor to show that V = 27 - average radius · height - thickness Use the "unrolled" diagram to explain why this makes sense geometrically. h

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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Volume of Concrete 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 front cover of this book, explain why the volume of
the cylindrical shell is
V = TR*h – ar'h
Factor to show that
V = 27 - average radius · height - thickness
Use the "unrolled" diagram to explain why this makes sense
geometrically.
h
Transcribed Image Text:Volume of Concrete 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 front cover of this book, explain why the volume of the cylindrical shell is V = TR*h – ar'h Factor to show that V = 27 - average radius · height - thickness Use the "unrolled" diagram to explain why this makes sense geometrically. h
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