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Part a
For any point on the circle, the distance to center is sqrt(x^2 + y^2). The distance also equals to radius r, so x^2 + y^2 = r^2.
Part b
When the shaded area revolve 360 degrees through x axis, it becomes a ball with radius r. The volume becomes 4/3 pi r^3
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Part a
For any point on the circle, the distance to center is sqrt(x^2 + y^2). The distance also equals to radius r, so x^2 + y^2 = r^2.
Part b
When the shaded area revolve 360 degrees through x axis, it becomes a ball with radius r. The volume becomes 4/3 pi r^3