Solution Found!
Finding Surface AreaTesting the new definition The lateral
Chapter 6, Problem 26E(choose chapter or problem)
Testing the new definition The lateral (side) surface area of a cone of height \(h\) and base radius \(r\) should be \(\pi r \sqrt{r^{2}+h^{2}}\), the semiperimeter of the base times the slant height. Show that this is still the case by finding the area of the surface generated by revolving the line segment \(y=(r/h)x,\ 0\le x\le h\), about the x-axis.
Equation Transcription:
Text Transcription:
h
r
pi r sqrt r^2 + h^2
y=(r/h)x, 0 leq x leq h
Questions & Answers
QUESTION:
Testing the new definition The lateral (side) surface area of a cone of height \(h\) and base radius \(r\) should be \(\pi r \sqrt{r^{2}+h^{2}}\), the semiperimeter of the base times the slant height. Show that this is still the case by finding the area of the surface generated by revolving the line segment \(y=(r/h)x,\ 0\le x\le h\), about the x-axis.
Equation Transcription:
Text Transcription:
h
r
pi r sqrt r^2 + h^2
y=(r/h)x, 0 leq x leq h
ANSWER:Solution:
Step 1 of 3:
The objective of this question is to prove that surface area of a cone of height h and base radius r should be