Volume by integration.pptx - VOLUME BY INTEGRATION DISK METHOD PREPARED BY ENGR LIONEL P LAPUZ WHAT IS THE VOLUME OF A CYLINDER V = \u03c0r2h r dy dy DISK

Volume by integration.pptx - VOLUME BY INTEGRATION DISK...

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VOLUME BY INTEGRATION: DISK METHOD PREPARED BY: ENGR. LIONEL P. LAPUZ
WHAT IS THE VOLUME OF A CYLINDER?
V = πr 2 h
dy r
dy
DISK METHOD (RING METHOD) In this section we will start looking at the volume of a solid of revolution. We should first define just what a solid of revolution is. To get a solid of revolution we start out with a function, y=f(x), on an interval [a,b].
a y = f(x) dx b
a y = f(x) dx b
Volume of ONE DISK: dv = πr 2 dx V = V = V =
PROBLEM 1
V = π(r o 2 - r i 2 )h
PROBLEM 2Determine the volume of the solid obtained

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