# Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.y = 3sqrt(x); y = 0; x = 0     Rotating around x = -3;

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = 3sqrt(x); y = 0; x = 0     Rotating around x = -3;
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Step 1

Find the volume of the solid obtained by rotating region as follows.

Step 2

Use online graphing calculator to draw the functions as follows. help_outlineImage Transcriptionclose(0,0) Here, the area of the region is a point. Thus, the limit points of x 0 to 0. That is, a single point fullscreen
Step 3

Find the area of the re... help_outlineImage TranscriptioncloseSurface area of cylindrical shell =27rh 2T(x-(-3)) (3-) =27(x+3) (3x) = 27t( 3XVX +9Vx 3 1 =27 3x2 9x2 fullscreen

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