Consider the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis.
y	 = 	25 − x2
y	 = 	0
x	 = 	2
x	 = 	5


To find the volume of the solid generated by revolving the region bounded by the given curves around the y-axis, we can use the method of cylindrical shells.

### Given:
- \( y = 25 - x^2 \)
- \( y = 0 \) (the x

Calculate the volume of the solid generated by revolving the region bounded by the graphs y = 25 - x^2, y = 0, x = 2, and x = 5 about the y-axis using cylindrical shells method. This involves integrating the area under the curves with respect to y. Suitable for advanced high school and college-level students.

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