Project #4723 - Calculus - Cylindrical Shell Method

1) 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 + y = 5, x = 9 − (y − 2)^2

 

2) 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 = 32 − x^2, y = x^2; about x = 4

 

3) The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method.

y = −x^2 + 12x − 27, y = 0; about the x-axis

 

4) The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method.

x^2 + (y − 4)^2 = 16; about the y-axis

 

5) The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method.

x = (y − 7)^2, x = 4; about y = 5

Subject Mathematics
Due By (Pacific Time) 04/21/2013 12:00 am
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