The area bounded by the curve: y = ax^2 (a > 0), the x-axis and the...

 

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The area bounded by the curve: y = ax^2 (a > 0), the x-axis and the line x=2 are allowed to rotate partly around the x-axis, and partly around the y-axis. Investigate whether the number a can be chosen so that the volume of the body of rotation around the x-axis is half the volume of the body of rotation around the y-axis. The area bounded by the curve: y = ax^2 (a > 0), the x-axis and the line x=2 are allowed to rotate partly around the x-axis, and partly around the y-axis. Investigate whether the number a can be chosen so that the volume of the body of rotation around the x-axis is half the volume of the body of rotation around the y-axis.

Answer rating: 100% (QA)

Answer The volume of a body of rotation around the xaxis can be calculated using the integral formul... View the full answer