Find the VOLUME using SHELL METHOD

y=x^2 - 5x + 6, y=0, y-axis

please help me understand how to solve using shell method... the answer is supposed to be 5(pi)/6...

Question

Find the VOLUME using SHELL METHOD

y=x^2 - 5x + 6, y=0, y-axis

please help me understand how to solve using shell method... the answer is supposed to be 5(pi)/6...

isabel☺ · Answer

@agent0smith

agent0smith · Answer

$$\Large V = 2\pi \int\limits_{a}^{b} r *h* dx$$your radius will be x, height will be y, find the limits by drawing a graph. http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithCylinder.aspx might help

agent0smith · Answer

https://www.google.com/search?q=y%3Dx%5E2+-+5x+%2B+6&oq=y%3Dx%5E2+-+5x+%2B+6&aqs=chrome..69i57&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8 limits will be from 2 to 3 since that's the bounded region

isabel☺ · Answer

is this the graph? |dw:1394324123058:dw|