Finding Surface AreaFind the surface area of the cone

Chapter 6, Problem 12E

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QUESTION:

Find the surface area of the cone frustum generated by revolving the line segment \(y=(x/2)+(1/2),\ 1\le x\le3\), about the y-axis. Check your result with the geometry formula

Frustum surface area \(=\pi\left(r_{1}+r_{2}\right) \times\) slant height.

Equation Transcription:

Text Transcription:

y=x/2+(1/2), 1 leq x leq 3

= (r_1 + r_2) times

Questions & Answers

QUESTION:

Find the surface area of the cone frustum generated by revolving the line segment \(y=(x/2)+(1/2),\ 1\le x\le3\), about the y-axis. Check your result with the geometry formula

Frustum surface area \(=\pi\left(r_{1}+r_{2}\right) \times\) slant height.

Equation Transcription:

Text Transcription:

y=x/2+(1/2), 1 leq x leq 3

= (r_1 + r_2) times

ANSWER:

SOLUTION

Step 1

Here, we have to find the lateral surface area of the cone generated by revolving the line segment  about the y-axis.

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