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80

Part of 2005 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 80

Source: 2005 Osaka University Entrance Exam

9/8/2005
Let SS be the domain surrounded by the two curves C1:y=ax2, C2:y=−ax2+2abxC_1:y=ax^2,\ C_2:y=-ax^2+2abx for constant positive numbers a,ba,b. Let VxV_x be the volume of the solid formed by the revolution of SS about the axis of xx, VyV_y be the volume of the solid formed by the revolution of SS about the axis of yy. Find the ratio of VxVy\frac{V_x}{V_y}.
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