Lateral Surface Area of a Cone A right circular cone is generated by revolving the

Chapter 7, Problem 56

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Lateral Surface Area of a Cone A right circular cone is generated by revolving the region bounded by y = hx/r, y = h, and x = 0 about the y-axis. Verify that the lateral surface area of the cone is \(S=\pi r \sqrt{r^{2}+h^{2}}\).

Text Transcription:

S=pi r sqrt r^2+h^2

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