Consider the right circular cone with radius r and height h. In this problem you will show that the volume of the cone is Tr²h by interpreting the cone as a solid of revolution (about the x-axis). h Find the slope and the y-intercept of the line formed by the hypotenuse of the blue right triangle. What is an equation for this line? |Set up and evaluate an integral to find the volume of this solid of revolution (keep in b) mind r and h should be treated as constants - the dimensions of the cone are not changing).
Consider the right circular cone with radius r and height h. In this problem you will show that the volume of the cone is Tr²h by interpreting the cone as a solid of revolution (about the x-axis). h Find the slope and the y-intercept of the line formed by the hypotenuse of the blue right triangle. What is an equation for this line? |Set up and evaluate an integral to find the volume of this solid of revolution (keep in b) mind r and h should be treated as constants - the dimensions of the cone are not changing).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the right circular cone with radius r and height h. In this problem you will show that the
volume of the cone is Tr2h by interpreting the cone as a solid of revolution (about the x-axis).
h
a)
right triangle. What is an equation for this line?
Find the slope and the y-intercept of the line formed by the hypotenuse of the blue
b)
mind r and h should be treated as constants - the dimensions of the cone are not changing).
Set up and evaluate an integral to find the volume of this solid of revolution (keep in
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