How do you find the volume of #y=2x^2#; #y=0#; #x=2# revolved about the x axis?

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May 24, 2018

Answer:

There is a mistake: #x=0# (not y) and #x=2#
See explanation below

Explanation:

The x-axis is the revolution axis, then

#V=int_0^2piy^2dx=4piint_0^2x^4dx=4pi/5x^5]_0^2=128pi/5#

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