15_5_8 - x 2 + y 2 = 2 ay , so the area of that part of the...

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8. The normal to the cone z 2 = x 2 + y 2 makes a 45 angle with the vertical, so dS = 2 dx dy is a surface area element for the cone. Both nappes (halves) of the cone pass through the interior of the cylinder
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Unformatted text preview: x 2 + y 2 = 2 ay , so the area of that part of the cone inside the cylinder is 2 √ 2 π a 2 square units, since the cylinder has a circular cross-section of radius a ....
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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