Expert Work - Find the volume

Expert Work - Find the volume

Find the volume of the solid obtained by revolving y=3-x and y=2*x^0.5 about the x-axis.

The bounded region is shown in the graph below:

Determine if the statements are true and explain why.

1. A pyramid is a solid of revolution.

2. The volume of a sphere can be computed using the disk method.

3. Let R1 be the region bounded by y = cos x and the x-axis on [-pi/2, pi/2]. Let R2 be the region bounded by y = sin x and the x-axis on [0, pi]. The volumes of the solids generated when R1 and R2 are revolved about the x-axis are equal.

 
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