009B Sample Final 3, Problem 4

Find the volume of the solid obtained by rotating about the $x$-axis the region bounded by $y={\sqrt {1-x^{2}}}$ and $y=0.$

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

Final Answer:
(a)
(b)
(c)

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