# Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.x = 5 + y2, x = 0, y = 2, y = 3

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Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.

x = 5 + y2, x = 0, y = 2, y = 3

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Step 1

To determine the volume of solid by using the method of cylindrical shell.

Step 2

Curve equations are given as, x=5+y2, x=0, y=2, y=3 and about x-axis.

Step 3

Let the radius is y, height is x, then

The volume of solid by rotati... help_outlineImage Transcriptionclose27 (x-y)dy =27(5+y2) ydy = 27, (5y + y' )dv x=5+y*} = 27T 5 2 4 2) (2 =275. (3) (3) 2 4 2 115 =27 4 115 2 fullscreen

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### Integration 