# Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = 27x3,    y = 0,    x = 1;    about x = 2

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y = 27x3,    y = 0,    x = 1;    about x = 2
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Step 1

The given curves are, help_outlineImage Transcriptionclosey = 27x', y =0,x =1 about x = 2. Use the Shell method and compute the volume as follows. V = [2arhdx Here, r= (2-x), and h=(27x³_0) = 27x³. fullscreen
Step 2

That impli... help_outlineImage Transcriptioncloseма- V-[2т (2-х)27x d* 1. -54т[(2—к)x & = 54.7[(2r° - x*)dr 2r x — 54л 5 x* — 54т 2 х? 5 fullscreen

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