A nuclear cooling tower is to have a height of h feet andthe shape of the solid that is

Chapter 10, Problem 48

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A nuclear cooling tower is to have a height of  feet and the shape of the solid that is generated by revolving the region \(R\) enclosed by the right branch of the hyperbola \(1521 x^{2}-225 y^{2}=342,225\) and the lines \(x=0, y=-h / 2\), and \(y=h / 2\) about the -axis.
(a) Find the volume of the tower.
(b) Find the lateral surface area of the tower.

Equation Transcription:

Text Transcription:

R

1521x^2 -225y^2 =342, 225

x=0, y=-h/2

y=h/2

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