Question: Let R be the region in the unit circle lying above the cut with the line y = mx + b (Figure 20). Assume that

Let R be the region in the unit circle lying above the cut with the line y = mx + b (Figure 20). Assume that the points where the line intersects the circle lie above the x-axis. Use the method of Exercise 65 to show that the solid obtained by rotating R about the x-axis has volume V = π/6 hd², with h and d as in the figure.

R y d h y=mx+b x + y=1 X

Data From Exercise 65

R y d h y=mx+b x + y = 1 X

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