Honors Calculus IQuiz 14 1.Determine the centroid of the area bounded by the x–axis, f(x)=xn, and the vertical line x=1. 2.Determine the centroid of the area within a circle in the first quadrant. 3.Use Pappus’ Theorem to determine the volume of a torus. The torus is the area of a circle of radius arotated about the y–axis. The center of the circle is distance bfrom the y–axis. 4.Use Pappus’ Theorem to determine the surface area of the torus in the previous problem. 5.Determine the surface area of a right circular cone having radius aand height h. 6.Consider a square with sides length aand with center distance baway from the y–axis. What is the volume obtained by rotating this figure about the y–axis? 7.What is the surface area of the figure described in the previous problem? 8.What is the length of the parabola given by the graph of
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