Determining the Surface Area of a Solid of Revolution

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Questions

• What is the surface area of the solid created by revolving #f(t) = ( 3t-1, t^2-2t+2), t in [2,3]# around the x-axis?
• What is the surface area of the solid created by revolving #f(t) = ( t^3-3t+4, t^3-2t, t in [2,3]# around the x-axis?
• What is the surface area of the solid created by revolving #f(t) = ( t^3-t, t^3-t, t in [2,3]# around the x-axis?
• Question #99004
• How do you find the surface area generated when the curve #y=sqrt(r^2-x^2), 0<=x<=a# is rotated about the x axis?