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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).

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter78: Computing Angles Made By The Intersection Of Two Angular Surfaces
Section: Chapter Questions
Problem 14A
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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
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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